Source: https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-1-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 3 & 4 National Curriculum](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum.md) › Identifying Equivalent Fractions

# Identifying Equivalent Fractions

Maths: Year 3 & 4 National Curriculum, topic 5.4.1

## 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/b3e638ef-6270-4a25-af8f-e836c0245e36/section/d6aec2e1-b5ee-4ee0-899c-b4aa933a414c/session)

- Previous topic: [5.3.5 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-3-5-factors.md)
- Next topic: [5.4.2 Adding & Subtracting Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-2-adding-and-subtracting-fractions.md)

## Maths: Year 3 & 4 National Curriculum contents

### 1 Year 3 - Number
- 1.1 Number & Place Value
  - [1.1.1 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-1-multiples.md)
  - [1.1.2 Counting in Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-2-counting-in-multiples.md)
  - [1.1.3 Recognising Three-Digit Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-3-recognising-three-digit-numbers.md)
  - [1.1.4 Finding 10 More or Less than a Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-4-finding-10-more-or-less-than-a-number.md)
  - [1.1.5 Finding 100 More or Less than a Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-5-finding-100-more-or-less-than-a-number.md)
  - [1.1.6 Ordering & Comparing Numbers up to 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-6-ordering-and-comparing-numbers-up-to-1000.md)
  - [1.1.7 Writing & Reading Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-7-writing-and-reading-numbers.md)
  - [1.1.8 Representing Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-1-8-representing-numbers.md)
- 1.2 Addition & Subtraction
  - [1.2.1 Mental Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-2-1-mental-addition-and-subtraction.md)
  - [1.2.2 Column Method](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-2-2-column-method.md)
  - [1.2.3 Estimating Calculations](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-2-3-estimating-calculations.md)
  - [1.2.4 Inverse Operations](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-2-4-inverse-operations.md)
  - [1.2.5 Missing Number Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-2-5-missing-number-problems.md)
  - [1.2.6 Real-Life Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-2-6-real-life-problems.md)
- 1.3 Multiplication & Division
  - [1.3.1 Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-3-1-times-tables.md)
  - [1.3.2 Using Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-3-2-using-times-tables.md)
  - [1.3.3 Multiplying Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-3-3-multiplying-numbers.md)
  - [1.3.4 Missing Number Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-3-4-missing-number-problems.md)
  - [1.3.5 Real-Life Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-3-5-real-life-problems.md)
- 1.4 Fractions
  - [1.4.1 Tenths](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-1-tenths.md)
  - [1.4.2 Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-2-fractions.md)
  - [1.4.3 Fractions Equal to a Whole](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-3-fractions-equal-to-a-whole.md)
  - [1.4.4 Equivalent Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-4-equivalent-fractions.md)
  - [1.4.5 Fractions of Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-5-fractions-of-shapes.md)
  - [1.4.6 Fractions of Amounts](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-6-fractions-of-amounts.md)
  - [1.4.7 Add & Subtract Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-7-add-and-subtract-fractions.md)
  - [1.4.8 Compare & Order Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/1-4-8-compare-and-order-fractions.md)

### 2 Year 3 - Measurement
- 2.1 Length
  - [2.1.1 Length](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-1-1-length.md)
  - [2.1.2 Comparing Lengths](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-1-2-comparing-lengths.md)
  - [2.1.3 Add & Subtract Lengths](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-1-3-add-and-subtract-lengths.md)
  - [2.1.4 Perimeter](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-1-4-perimeter.md)
- 2.2 Mass
  - [2.2.1 Mass](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-2-1-mass.md)
  - [2.2.2 Comparing Masses](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-2-2-comparing-masses.md)
  - [2.2.3 Add & Subtract Masses](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-2-3-add-and-subtract-masses.md)
- 2.3 Volume & Capacity
  - [2.3.1 Volume & Capacity](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-3-1-volume-and-capacity.md)
  - [2.3.2 Comparing Volumes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-3-2-comparing-volumes.md)
  - [2.3.3 Add & Subtract Volumes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-3-3-add-and-subtract-volumes.md)
- 2.4 Money
  - [2.4.1 Money](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-4-1-money.md)
  - [2.4.2 Counting Money](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-4-2-counting-money.md)
  - [2.4.3 Adding & Subtracting Money](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-4-3-adding-and-subtracting-money.md)
- 2.5 Time
  - [2.5.1 Units of Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-5-1-units-of-time.md)
  - [2.5.2 Clocks](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-5-2-clocks.md)
  - [2.5.3 Telling the Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-5-3-telling-the-time.md)
  - [2.5.4 Time of the Day](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-5-4-time-of-the-day.md)
  - [2.5.5 12-Hour & 24-Hour Clocks](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-5-5-12-hour-and-24-hour-clocks.md)
  - [2.5.6 Measuring Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/2-5-6-measuring-time.md)

### 3 Year 3 - Geometry
- 3.1 Angles
  - [3.1.1 Angles in Degrees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/3-1-1-angles-in-degrees.md)
  - [3.1.2 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/3-1-2-types-of-angle.md)
- 3.2 Properties of Shapes
  - [3.2.1 2D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/3-2-1-2d-shapes.md)
  - [3.2.2 3D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/3-2-2-3d-shapes.md)
- 3.3 Straight Lines
  - [3.3.1 Straight Lines](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/3-3-1-straight-lines.md)
  - [3.3.2 Parallel & Perpendicular Lines](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/3-3-2-parallel-and-perpendicular-lines.md)

### 4 Year 3 - Statistics
- 4.1 Statistics
  - [4.1.1 Statistics](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/4-1-1-statistics.md)
  - [4.1.2 Pictograms & Bar Charts](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/4-1-2-pictograms-and-bar-charts.md)

### 5 Year 4 - Number
- 5.1 Number & Place Value
  - [5.1.1 Counting in Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-1-counting-in-multiples.md)
  - [5.1.2 Recognising Four Digit Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-2-recognising-four-digit-numbers.md)
  - [5.1.3 Find 1,000 More or Less than a Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-3-find-1000-more-or-less-than-a-number.md)
  - [5.1.4 Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-4-negative-numbers.md)
  - [5.1.5 Ordering & Comparing Numbers Over 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-5-ordering-and-comparing-numbers-over-1000.md)
  - [5.1.6 Representing Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-6-representing-numbers.md)
  - [5.1.7 Rounding Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-7-rounding-numbers.md)
  - [5.1.8 Roman Numerals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-1-8-roman-numerals.md)
- 5.2 Addition & Subtraction
  - [5.2.1 Written Methods for Adding Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-2-1-written-methods-for-adding-large-numbers.md)
  - [5.2.2 Written Methods for Subtracting Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-2-2-written-methods-for-subtracting-large-numbers.md)
  - [5.2.3 Estimation & Inverse Operations](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-2-3-estimation-and-inverse-operations.md)
  - [5.2.4 Solving Two-Step Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-2-4-solving-two-step-problems.md)
- 5.3 Multiplication & Division
  - [5.3.1 Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-3-1-times-tables.md)
  - [5.3.2 Using Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-3-2-using-times-tables.md)
  - [5.3.3 Multiplication Rules](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-3-3-multiplication-rules.md)
  - [5.3.4 Column Method](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-3-4-column-method.md)
  - [5.3.5 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-3-5-factors.md)
- 5.4 Fractions & Decimals
  - [5.4.1 Identifying Equivalent Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-1-identifying-equivalent-fractions.md)
  - [5.4.2 Adding & Subtracting Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-2-adding-and-subtracting-fractions.md)
  - [5.4.3 Hundredths](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-3-hundredths.md)
  - [5.4.4 Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-4-decimals.md)
  - [5.4.5 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-5-converting-between-decimals-and-fractions.md)
  - [5.4.6 Rounding Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-6-rounding-decimals.md)
  - [5.4.7 Ordering Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/5-4-7-ordering-decimals.md)

### 6 Year 4 - Measurement
- 6.1 Units
  - [6.1.1 Metric Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/6-1-1-metric-measurements.md)
  - [6.1.2 Adding & Subtracting Money](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/6-1-2-adding-and-subtracting-money.md)
- 6.2 Time
  - [6.2.1 Converting Units of Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/6-2-1-converting-units-of-time.md)
  - [6.2.2 Changing the 12-Hour Clock to the 24-Hour Clock](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/6-2-2-changing-the-12-hour-clock-to-the-24-hour-clock.md)
  - [6.2.3 Changing the 24-hour Clock to the 12-Hour Clock](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/6-2-3-changing-the-24-hour-clock-to-the-12-hour-clock.md)

### 7 Year 4 - Geometry
- 7.1 Properties of Shapes
  - [7.1.1 Symmetry](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-1-1-symmetry.md)
  - [7.1.2 Types of Triangle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-1-2-types-of-triangle.md)
  - [7.1.3 Quadrilaterals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-1-3-quadrilaterals.md)
- 7.2 Perimeter & Area
  - [7.2.1 Perimeter](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-2-1-perimeter.md)
  - [7.2.2 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-2-2-area.md)
- 7.3 Position & Direction
  - [7.3.1 Coordinates](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-3-1-coordinates.md)
  - [7.3.2 Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/7-3-2-translation.md)

### 8 Year 4 - Statistics
- 8.1 Statistics
  - [8.1.1 Types of Data](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/8-1-1-types-of-data.md)
  - [8.1.2 Pictograms & Bar Charts](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/8-1-2-pictograms-and-bar-charts.md)
  - [8.1.3 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-3-and-4-national-curriculum/8-1-3-line-graphs.md)
