1.4.4

Equivalent Fractions

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Equivalent Fractions

Sometimes fractions that look different represent the same amount. We call these equivalent fractions.

Equivalent fractions

Equivalent fractions

  • When fractions are the same amount, they are called equivalent.
    • 2 is half of 4, so 2/4 is the same as 1/2.
    • 3 is a third of 9, so 3/9 is the same as 1/3.
Finding equivalent fractions

Finding equivalent fractions

  • To find an equivalent fraction, we can multiply or divide the top (numerator) and bottom (denominator) by the same whole number.
Example

Example

  • For example. to find equivalent fractions of 1/3:
    • Multiply top and bottom by 2: 4/6.
    • Multiply top and bottom by 3: 3/9.
    • Multiply top and bottom by 4: 4/12.

Equivalent Fractions

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

Equivalent fractions

Equivalent fractions

  • The fractions 35\large\frac{3}{5} and 610\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?

  • 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?

  • 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.
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1

Year 3 - Number

1.1

Number & Place Value

1.1.1Multiples1.1.2Counting in Multiples1.1.3Recognising Three-Digit Numbers1.1.4Finding 10 More or Less than a Number1.1.5Finding 100 More or Less than a Number1.1.6Ordering & Comparing Numbers up to 1,0001.1.7Writing & Reading Numbers1.1.8Representing Numbers
1.2

Addition & Subtraction

1.2.1Mental Addition & Subtraction1.2.2Column Method1.2.3Estimating Calculations1.2.4Inverse Operations1.2.5Missing Number Problems1.2.6Real-Life Problems
1.3

Multiplication & Division

1.3.1Times Tables1.3.2Using Times Tables1.3.3Multiplying Numbers1.3.4Missing Number Problems1.3.5Real-Life Problems
1.4

Fractions

1.4.1Tenths1.4.2Fractions1.4.3Fractions Equal to a Whole1.4.4Equivalent Fractions1.4.5Fractions of Shapes1.4.6Fractions of Amounts1.4.7Add & Subtract Fractions1.4.8Compare & Order Fractions
2

Year 3 - Measurement

2.1

Length

2.1.1Length2.1.2Comparing Lengths2.1.3Add & Subtract Lengths2.1.4Perimeter
2.2

Mass

2.2.1Mass2.2.2Comparing Masses2.2.3Add & Subtract Masses
2.3

Volume & Capacity

2.3.1Volume & Capacity2.3.2Comparing Volumes2.3.3Add & Subtract Volumes
2.4

Money

2.4.1Money2.4.2Counting Money2.4.3Adding & Subtracting Money
2.5

Time

2.5.1Units of Time2.5.2Clocks2.5.3Telling the Time2.5.4Time of the Day2.5.512-Hour & 24-Hour Clocks2.5.6Measuring Time
3

Year 3 - Geometry

3.1

Angles

3.1.1Angles in Degrees3.1.2Types of Angle
3.2

Properties of Shapes

3.2.12D Shapes3.2.23D Shapes
3.3

Straight Lines

3.3.1Straight Lines3.3.2Parallel & Perpendicular Lines
4

Year 3 - Statistics

4.1

Statistics

4.1.1Statistics4.1.2Pictograms & Bar Charts
5

Year 4 - Number

5.1

Number & Place Value

5.1.1Counting in Multiples5.1.2Recognising Four Digit Numbers5.1.3Find 1,000 More or Less than a Number5.1.4Negative Numbers5.1.5Ordering & Comparing Numbers Over 1,0005.1.6Representing Numbers5.1.7Rounding Numbers5.1.8Roman Numerals
5.2

Addition & Subtraction

5.2.1Written Methods for Adding Large Numbers5.2.2Written Methods for Subtracting Large Numbers5.2.3Estimation & Inverse Operations5.2.4Solving Two-Step Problems
5.3

Multiplication & Division

5.3.1Times Tables5.3.2Using Times Tables5.3.3Multiplication Rules5.3.4Column Method5.3.5Factors
5.4

Fractions & Decimals

5.4.1Identifying Equivalent Fractions5.4.2Adding & Subtracting Fractions5.4.3Hundredths5.4.4Decimals5.4.5Converting Between Decimals & Fractions5.4.6Rounding Decimals5.4.7Ordering Decimals
6

Year 4 - Measurement

6.1

Units

6.1.1Metric Measurements6.1.2Adding & Subtracting Money
6.2

Time

6.2.1Converting Units of Time6.2.2Changing the 12-Hour Clock to the 24-Hour Clock6.2.3Changing the 24-hour Clock to the 12-Hour Clock
7

Year 4 - Geometry

7.1

Properties of Shapes

7.1.1Symmetry7.1.2Types of Triangle7.1.3Quadrilaterals
7.2

Perimeter & Area

7.2.1Perimeter7.2.2Area
7.3

Position & Direction

7.3.1Coordinates7.3.2Translation
8

Year 4 - Statistics

8.1

Statistics

8.1.1Types of Data8.1.2Pictograms & Bar Charts8.1.3Line Graphs

Practice questions on Equivalent Fractions

Can you answer these? Test yourself with free interactive practice on Seneca — used by over 10 million students.

  1. 1
    Which of the following is an equivalent fraction of <sup>1</sup>/<sub>2</sub>?Multiple choice
  2. 2
    Which of the following is an equivalent fraction of <sup>2</sup>/<sub>3</sub>?Multiple choice
  3. 3
    Which of the following is an equivalent fraction of <sup>1</sup>/<sub>4</sub>?Multiple choice
  4. 4
    What numerator would make these two fractions equivalent?Multiple choice
  5. 5
    What numerator would make these two fractions equivalent?Multiple choice
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Fractions Equal to a Whole

Fractions of Shapes