Source: https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-2-identifying-equivalent-fractions

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [Primary](https://senecalearning.com/en-gb/revision-notes/primary.md) › [Maths](https://senecalearning.com/en-gb/revision-notes/primary/maths.md) › [Maths: Year 5 & 6 National Curriculum](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum.md) › Identifying Equivalent Fractions

# Identifying Equivalent Fractions

Maths: Year 5 & 6 National Curriculum, topic 1.4.2

## Equivalent Fractions

Equivalent fractions are fractions that have the same value but have different numerators and denominators.

### Equivalent fractions

![Equivalent fractions](https://image-v2.cdn.app.senecalearning.com/2019-08/fae256a1-77ab-4851-83d1-a227d755402d/Slides%20(38).png)

- The fractions $$\large\frac{3}{5}$$ and 
$$\large\frac{6}{10}$$ are equivalent. 
 - You can tell these fractions are equivalent because they have the same amount of the bar shaded.
 - The only thing that is different between the bars is how they have been split up.

### Are these equivalent?

![Are these equivalent?](https://image-v2.cdn.app.senecalearning.com/2019-08/16a23285-2f14-4a38-ab8a-92bfc250c365/Slides%20(39).png)

- You can spot equivalent fractions by seeing if you can multiply the numerator (the top number) and the denominator (the bottom number) by the same number to go between the fractions.

### Are these equivalent?

![Are these equivalent?](https://image-v2.cdn.app.senecalearning.com/2019-08/73afbb3e-134f-4041-9499-a40dd39299f5/Slides%20(40).png)

- You can spot equivalent fractions by seeing if you can multiply the numerator (the top number) and the denominator (the bottom number) by the same number to go between the fractions.

## Test yourself on Identifying Equivalent Fractions

- What numerator would make these two fractions equivalent?
- What numerator would make these two fractions equivalent?
- What numerator would make these two fractions equivalent?
- What denominator would make these two fractions equivalent?
- What denominator would make these two fractions equivalent?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/cc410aae-4be5-4c7a-9492-ee552574ade2/section/f2a61a6f-3443-46f0-b471-96850c98449d/session)

- Previous topic: [1.4.1 Compare & Order Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-1-compare-and-order-fractions.md)
- Next topic: [1.4.3 Add & Subtract Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-3-add-and-subtract-fractions.md)

## Maths: Year 5 & 6 National Curriculum contents

### 1 Year 5 - Number
- 1.1 Number & Place Value
  - [1.1.1 The Value of Digits to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-1-the-value-of-digits-to-millions.md)
  - [1.1.2 Smallest & Biggest Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-2-smallest-and-biggest-numbers-to-millions.md)
  - [1.1.3 Ordering Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-3-ordering-numbers-to-millions.md)
  - [1.1.4 Counting in Powers of 10](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-4-counting-in-powers-of-10.md)
  - [1.1.5 Counting in Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-5-counting-in-negative-numbers.md)
  - [1.1.6 Rounding Numbers up to 1,000,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-6-rounding-numbers-up-to-1000000.md)
  - [1.1.7 Reading Roman Numerals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-7-reading-roman-numerals.md)
- 1.2 Addition & Subtraction
  - [1.2.1 Written Methods for Adding Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-1-written-methods-for-adding-large-numbers.md)
  - [1.2.2 Written Methods for Subtracting Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-2-written-methods-for-subtracting-large-numbers.md)
  - [1.2.3 Mental Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-3-mental-addition-and-subtraction.md)
  - [1.2.4 Rounding to Check Your Answer](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-4-rounding-to-check-your-answer.md)
- 1.3 Multiplication & Division
  - [1.3.1 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-1-multiples.md)
  - [1.3.2 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-2-factors.md)
  - [1.3.3 Prime Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-3-prime-numbers.md)
  - [1.3.4 Prime Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-4-prime-factors.md)
  - [1.3.5 Composite Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-5-composite-numbers.md)
  - [1.3.6 Factor Trees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-6-factor-trees.md)
  - [1.3.7 Multiplication by a 1 Digit Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-7-multiplication-by-a-1-digit-number.md)
  - [1.3.8 Long Multiplication Using Column Method](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-8-long-multiplication-using-column-method.md)
  - [1.3.9 Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-9-times-tables.md)
  - [1.3.10 Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-10-division.md)
  - [1.3.11 Multiplying & Dividing by 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-11-multiplying-and-dividing-by-10-100-and-1000.md)
  - [1.3.12 Square & Cube Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-12-square-and-cube-numbers.md)
- 1.4 Fractions & Decimals
  - [1.4.1 Compare & Order Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-1-compare-and-order-fractions.md)
  - [1.4.2 Identifying Equivalent Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-2-identifying-equivalent-fractions.md)
  - [1.4.3 Add & Subtract Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-3-add-and-subtract-fractions.md)
  - [1.4.4 Mixed Numbers & Improper Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-4-mixed-numbers-and-improper-fractions.md)
  - [1.4.5 Multiplying Fractions by Whole Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-5-multiplying-fractions-by-whole-numbers.md)
  - [1.4.6 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-6-converting-between-decimals-and-fractions.md)
  - [1.4.7 Rounding Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-7-rounding-decimals.md)
  - [1.4.8 Ordering Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-8-ordering-decimals.md)

### 2 Year 5 - Measurement
- 2.1 Measures
  - [2.1.1 Metric Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-1-1-metric-measurements.md)
  - [2.1.2 Imperial Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-1-2-imperial-measurements.md)
- 2.2 Perimeter & Area
  - [2.2.1 Perimeter](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-2-1-perimeter.md)
  - [2.2.2 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-2-2-area.md)
- 2.3 Time
  - [2.3.1 Units of Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-3-1-units-of-time.md)

### 3 Year 5 - Geometry
- 3.1 Properties of 3D Shapes
  - [3.1.1 Types of 3D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-1-1-types-of-3d-shapes.md)
  - [3.1.2 Faces, Edges & Vertices](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-1-2-faces-edges-and-vertices.md)
- 3.2 Properties of 2D Shapes
  - [3.2.1 Polygons](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-2-1-polygons.md)
- 3.3 Angles
  - [3.3.1 Angles in Degrees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-1-angles-in-degrees.md)
  - [3.3.2 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-2-types-of-angle.md)
  - [3.3.3 Finding Missing Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-3-finding-missing-angles.md)
- 3.4 Position & Direction
  - [3.4.1 Reflection & Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-4-1-reflection-and-translation.md)

### 4 Year 5 - Statistics
- 4.1 Graphs
  - [4.1.1 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-1-line-graphs.md)
  - [4.1.2 Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-2-tables.md)
  - [4.1.3 Timetables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-3-timetables.md)

### 5 Year 6 - Number
- 5.1 Number & Place Value
  - [5.1.1 The Value of Digits to Ten Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-1-the-value-of-digits-to-ten-millions.md)
  - [5.1.2 Ordering Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-2-ordering-numbers-to-millions.md)
  - [5.1.3 Rounding](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-3-rounding.md)
  - [5.1.4 Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-4-negative-numbers.md)
- 5.2 Multiplication & Division
  - [5.2.1 Multiplication by a 2 Digit Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-1-multiplication-by-a-2-digit-number.md)
  - [5.2.2 Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-2-division.md)
  - [5.2.3 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-3-multiples.md)
  - [5.2.4 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-4-factors.md)
  - [5.2.5 Primes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-5-primes.md)
- 5.3 Mental Maths
  - [5.3.1 Multiplying & Dividing by 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-1-multiplying-and-dividing-by-10-100-and-1000.md)
  - [5.3.2 Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-2-addition-and-subtraction.md)
  - [5.3.3 Adding & Subtracting 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-3-adding-and-subtracting-10-100-and-1000.md)
  - [5.3.4 Multiplication & Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-4-multiplication-and-division.md)
- 5.4 Order of Operations
  - [5.4.1 BIDMAS](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-4-1-bidmas.md)
- 5.5 Problem Solving
  - [5.5.1 Addition & Subtraction Multi-step Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-5-1-addition-and-subtraction-multi-step-problems.md)
  - [5.5.2 Problem Solving with Proportion](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-5-2-problem-solving-with-proportion.md)
- 5.6 Fractions & Decimals
  - [5.6.1 Simplifying Fractions Using Equivalents](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-1-simplifying-fractions-using-equivalents.md)
  - [5.6.2 Ordering Different Types of Fraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-2-ordering-different-types-of-fraction.md)
  - [5.6.3 Adding & Subtracting Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-3-adding-and-subtracting-fractions.md)
  - [5.6.4 Adding & Subtracting Mixed Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-4-adding-and-subtracting-mixed-numbers.md)
  - [5.6.5 Multiplying Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-5-multiplying-fractions.md)
  - [5.6.6 Dividing Fractions by Whole Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-6-dividing-fractions-by-whole-numbers.md)
  - [5.6.7 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-7-converting-between-decimals-and-fractions.md)
  - [5.6.8 Dividing Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-8-dividing-decimals.md)

### 6 Year 6 - Ratio & Proportion
- 6.1 Ratio
  - [6.1.1 Using Ratios](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-1-1-using-ratios.md)
  - [6.1.2 Simplifying Ratios](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-1-2-simplifying-ratios.md)
- 6.2 Percentages
  - [6.2.1 Calculating Percentages](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-2-1-calculating-percentages.md)
- 6.3 Scale
  - [6.3.1 Scale of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-3-1-scale-of-2d-shapes.md)

### 7 Year 6 - Algebra
- 7.1 Sequences
  - [7.1.1 Describing Sequences](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-1-1-describing-sequences.md)
  - [7.1.2 Finding Gaps in Sequences](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-1-2-finding-gaps-in-sequences.md)
- 7.2 Missing Number Problems
  - [7.2.1 Missing Number Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-2-1-missing-number-problems.md)
- 7.3 Equations
  - [7.3.1 Balancing Equations](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-3-1-balancing-equations.md)
  - [7.3.2 Combining Two Variables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-3-2-combining-two-variables.md)

### 8 Year 6 - Measurement
- 8.1 Problem Solving
  - [8.1.1 Problem Solving with Measures](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-1-1-problem-solving-with-measures.md)
- 8.2 Unit Conversion
  - [8.2.1 Conversion Between Miles & Kilometres](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-2-1-conversion-between-miles-and-kilometres.md)
- 8.3 Perimeter, Area & Volume
  - [8.3.1 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-1-area.md)
  - [8.3.2 Volume](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-2-volume.md)
  - [8.3.3 Nets](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-3-nets.md)
  - [8.3.4 Faces, Edges & Vertices](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-4-faces-edges-and-vertices.md)
- 8.4 Angles
  - [8.4.1 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-1-types-of-angle.md)
  - [8.4.2 Finding Missing Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-2-finding-missing-angles.md)
  - [8.4.3 Finding Missing Angles in Triangles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-3-finding-missing-angles-in-triangles.md)
  - [8.4.4 Vertically Opposite Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-4-vertically-opposite-angles.md)
- 8.5 Circles
  - [8.5.1 Parts of a Circle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-5-1-parts-of-a-circle.md)
- 8.6 Coordinate Grids
  - [8.6.1 Positions on Coordinate Grids](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-6-1-positions-on-coordinate-grids.md)
  - [8.6.2 Reflection & Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-6-2-reflection-and-translation.md)

### 9 Year 6 - Statistics
- 9.1 Displaying Data
  - [9.1.1 Pie Charts](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-1-1-pie-charts.md)
  - [9.1.2 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-1-2-line-graphs.md)
- 9.2 Averages
  - [9.2.1 Mean](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-2-1-mean.md)
