1.4.1

Compare & Order Fractions

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Compare and Order Fractions with the Same Denominator

You can easily order fractions when the denominators are the same.

$Ordering fractions$

Ordering fractions

The denominator is the number on the bottom of a fraction.
It is easy to order fractions when the denominators are the same.
- All the fractions above have a denominator of 8.

$Ordering fractions 2$

Ordering fractions 2

As the denominators are the same, you look to the numerators to order from smallest to largest.

Compare and Order Fractions with Different Denominators

When the denominators (the numbers on the bottom of fractions) are different, you need to change one or more of the fractions so that they all have the same denominator.

$Changing fractions$

Changing fractions

In order to work out which is larger, you need to make sure both fractions have the same denominator.
- As 8 is a multiple of 4, you can easily change our $\large\frac{3}{4}$ into eighths.

What do you need to multiply by?

What do you need to multiply by?

First, you look at the denominator.
- You need to multiply the denominator of $\large\frac{3}{4}$ (4) by 2 to make 8.

Same to the top and bottom

Same to the top and bottom

Remember:
- Whatever you do to the denominator you must do to the numerator.

Multiply the top by the same

Multiply the top by the same

If you multiply our numerator of $\large\frac{3}{4}$ (3) by 2, our numerator will become 6.
- So $\large\frac{3}{4}$ is equivalent to (the same value as) $\large\frac{6}{8}$ .

Which is bigger?

Which is bigger?

$\large\frac{6}{8}$ is bigger than $\large\frac{3}{8}$ .
So $\large\frac{3}{4}$ is bigger than $\large\frac{3}{8}$ .

Using < and >

Using < and >

You can show which fraction is bigger using symbols.
'<' means 'is smaller than'.
- 3 < 4 (3 'is smaller than' 4).
'>' means 'is greater than'.
- 4 > 3 (4 'is greater than' 3).

1

Year 5 - Number

1.1

Number & Place Value

1.1.1The Value of Digits to Millions 1.1.2Smallest & Biggest Numbers to Millions 1.1.3Ordering Numbers to Millions 1.1.4Counting in Powers of 10 1.1.5Counting in Negative Numbers 1.1.6Rounding Numbers up to 1,000,000 1.1.7Reading Roman Numerals

1.2

Addition & Subtraction

1.2.1Written Methods for Adding Large Numbers 1.2.2Written Methods for Subtracting Large Numbers 1.2.3Mental Addition & Subtraction 1.2.4Rounding to Check Your Answer

1.3

Multiplication & Division

1.3.1Multiples 1.3.2Factors 1.3.3Prime Numbers 1.3.4Prime Factors 1.3.5Composite Numbers 1.3.6Factor Trees 1.3.7Multiplication by a 1 Digit Number 1.3.8Long Multiplication Using Column Method 1.3.9Times Tables 1.3.10Division 1.3.11Multiplying & Dividing by 10, 100 & 1,000 1.3.12Square & Cube Numbers

1.4

Fractions & Decimals

1.4.1Compare & Order Fractions 1.4.2Identifying Equivalent Fractions 1.4.3Add & Subtract Fractions 1.4.4Mixed Numbers & Improper Fractions 1.4.5Multiplying Fractions by Whole Numbers 1.4.6Converting Between Decimals & Fractions 1.4.7Rounding Decimals 1.4.8Ordering Decimals

2

Year 5 - Measurement

2.1

Measures

2.1.1Metric Measurements 2.1.2Imperial Measurements

2.2

Perimeter & Area

2.2.1Perimeter 2.2.2Area

2.3

Time

2.3.1Units of Time

3

Year 5 - Geometry

3.1

Properties of 3D Shapes

3.1.1Types of 3D Shapes 3.1.2Faces, Edges & Vertices

3.2

Properties of 2D Shapes

3.3

Angles

3.3.1Angles in Degrees 3.3.2Types of Angle 3.3.3Finding Missing Angles

3.4

Position & Direction

3.4.1Reflection & Translation

4

Year 5 - Statistics

4.1

Graphs

4.1.1Line Graphs 4.1.2Tables 4.1.3Timetables

5

Year 6 - Number

5.1

Number & Place Value

5.1.1The Value of Digits to Ten Millions 5.1.2Ordering Numbers to Millions 5.1.3Rounding 5.1.4Negative Numbers

5.2

Multiplication & Division

5.2.1Multiplication by a 2 Digit Number 5.2.2Division 5.2.3Multiples 5.2.4Factors 5.2.5Primes

5.3

Mental Maths

5.3.1Multiplying & Dividing by 10, 100 & 1,000 5.3.2Addition & Subtraction 5.3.3Adding & Subtracting 10, 100 & 1,000 5.3.4Multiplication & Division

5.4

Order of Operations

5.5

Problem Solving

5.5.1Addition & Subtraction Multi-step Problems 5.5.2Problem Solving with Proportion

5.6

Fractions & Decimals

5.6.1Simplifying Fractions Using Equivalents 5.6.2Ordering Different Types of Fraction 5.6.3Adding & Subtracting Fractions 5.6.4Adding & Subtracting Mixed Numbers 5.6.5Multiplying Fractions 5.6.6Dividing Fractions by Whole Numbers 5.6.7Converting Between Decimals & Fractions 5.6.8Dividing Decimals

6

Year 6 - Ratio & Proportion

6.1

Ratio

6.1.1Using Ratios 6.1.2Simplifying Ratios

6.2

Percentages

6.2.1Calculating Percentages

6.3

Scale

6.3.1Scale of 2D Shapes

7

Year 6 - Algebra

7.1

Sequences

7.1.1Describing Sequences 7.1.2Finding Gaps in Sequences

7.2

Missing Number Problems

7.2.1Missing Number Problems

7.3

Equations

7.3.1Balancing Equations 7.3.2Combining Two Variables

8

Year 6 - Measurement

8.1

Problem Solving

8.1.1Problem Solving with Measures

8.2

Unit Conversion

8.2.1Conversion Between Miles & Kilometres

8.3

Perimeter, Area & Volume

8.3.1Area 8.3.2Volume 8.3.3Nets 8.3.4Faces, Edges & Vertices

8.4

Angles

8.4.1Types of Angle 8.4.2Finding Missing Angles 8.4.3Finding Missing Angles in Triangles 8.4.4Vertically Opposite Angles

8.5

Circles

8.5.1Parts of a Circle

8.6

Coordinate Grids

8.6.1Positions on Coordinate Grids 8.6.2Reflection & Translation

9

Year 6 - Statistics

9.1

Displaying Data

9.1.1Pie Charts 9.1.2Line Graphs

9.2

Averages

Jump to other topics

1

Year 5 - Number

1.1

Number & Place Value

1.1.1The Value of Digits to Millions 1.1.2Smallest & Biggest Numbers to Millions 1.1.3Ordering Numbers to Millions 1.1.4Counting in Powers of 10 1.1.5Counting in Negative Numbers 1.1.6Rounding Numbers up to 1,000,000 1.1.7Reading Roman Numerals

1.2

Addition & Subtraction

1.2.1Written Methods for Adding Large Numbers 1.2.2Written Methods for Subtracting Large Numbers 1.2.3Mental Addition & Subtraction 1.2.4Rounding to Check Your Answer

1.3

Multiplication & Division

1.3.1Multiples 1.3.2Factors 1.3.3Prime Numbers 1.3.4Prime Factors 1.3.5Composite Numbers 1.3.6Factor Trees 1.3.7Multiplication by a 1 Digit Number 1.3.8Long Multiplication Using Column Method 1.3.9Times Tables 1.3.10Division 1.3.11Multiplying & Dividing by 10, 100 & 1,000 1.3.12Square & Cube Numbers

1.4

Fractions & Decimals

1.4.1Compare & Order Fractions 1.4.2Identifying Equivalent Fractions 1.4.3Add & Subtract Fractions 1.4.4Mixed Numbers & Improper Fractions 1.4.5Multiplying Fractions by Whole Numbers 1.4.6Converting Between Decimals & Fractions 1.4.7Rounding Decimals 1.4.8Ordering Decimals

2

Year 5 - Measurement

2.1

Measures

2.1.1Metric Measurements 2.1.2Imperial Measurements

2.2

Perimeter & Area

2.2.1Perimeter 2.2.2Area

2.3

Time

2.3.1Units of Time

3

Year 5 - Geometry

3.1

Properties of 3D Shapes

3.1.1Types of 3D Shapes 3.1.2Faces, Edges & Vertices

3.2

Properties of 2D Shapes

3.3

Angles

3.3.1Angles in Degrees 3.3.2Types of Angle 3.3.3Finding Missing Angles

3.4

Position & Direction

3.4.1Reflection & Translation

4

Year 5 - Statistics

4.1

Graphs

4.1.1Line Graphs 4.1.2Tables 4.1.3Timetables

5

Year 6 - Number

5.1

Number & Place Value

5.1.1The Value of Digits to Ten Millions 5.1.2Ordering Numbers to Millions 5.1.3Rounding 5.1.4Negative Numbers

5.2

Multiplication & Division

5.2.1Multiplication by a 2 Digit Number 5.2.2Division 5.2.3Multiples 5.2.4Factors 5.2.5Primes

5.3

Mental Maths

5.3.1Multiplying & Dividing by 10, 100 & 1,000 5.3.2Addition & Subtraction 5.3.3Adding & Subtracting 10, 100 & 1,000 5.3.4Multiplication & Division

5.4

Order of Operations

5.5

Problem Solving

5.5.1Addition & Subtraction Multi-step Problems 5.5.2Problem Solving with Proportion

5.6

Fractions & Decimals

5.6.1Simplifying Fractions Using Equivalents 5.6.2Ordering Different Types of Fraction 5.6.3Adding & Subtracting Fractions 5.6.4Adding & Subtracting Mixed Numbers 5.6.5Multiplying Fractions 5.6.6Dividing Fractions by Whole Numbers 5.6.7Converting Between Decimals & Fractions 5.6.8Dividing Decimals

6

Year 6 - Ratio & Proportion

6.1

Ratio

6.1.1Using Ratios 6.1.2Simplifying Ratios

6.2

Percentages

6.2.1Calculating Percentages

6.3

Scale

6.3.1Scale of 2D Shapes

7

Year 6 - Algebra

7.1

Sequences

7.1.1Describing Sequences 7.1.2Finding Gaps in Sequences

7.2

Missing Number Problems

7.2.1Missing Number Problems

7.3

Equations

7.3.1Balancing Equations 7.3.2Combining Two Variables

8

Year 6 - Measurement

8.1

Problem Solving

8.1.1Problem Solving with Measures

8.2

Unit Conversion

8.2.1Conversion Between Miles & Kilometres

8.3

Perimeter, Area & Volume

8.3.1Area 8.3.2Volume 8.3.3Nets 8.3.4Faces, Edges & Vertices

8.4

Angles

8.4.1Types of Angle 8.4.2Finding Missing Angles 8.4.3Finding Missing Angles in Triangles 8.4.4Vertically Opposite Angles

8.5

Circles

8.5.1Parts of a Circle

8.6

Coordinate Grids

8.6.1Positions on Coordinate Grids 8.6.2Reflection & Translation

9

Year 6 - Statistics

9.1

Displaying Data

9.1.1Pie Charts 9.1.2Line Graphs

9.2

Averages

Practice questions on Compare & Order Fractions

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1
Select the larger fraction:True / false
2
Select the larger fraction:True / false
3
Select the largest fraction:Multiple choice
4
Select the largest fraction:Multiple choice
5
Select the largest fraction:Multiple choice

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Square & Cube Numbers

Identifying Equivalent Fractions