Equivalent Fractions

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

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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.

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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

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.

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Equivalent fractions

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?

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?

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.

1Year 3 - Number

2Year 3 - Measurement

2.1Length

2.1.1Length

2.1.2Comparing Lengths

2.1.3Add & Subtract Lengths

2.1.4Perimeter

2.2Mass

2.2.1Mass

2.2.2Comparing Masses

2.2.3Add & Subtract Masses

2.3Volume & Capacity

2.3.1Volume & Capacity

2.3.2Comparing Volumes

2.3.3Add & Subtract Volumes

2.4Money

2.4.1Money

2.4.2Counting Money

2.4.3Adding & Subtracting Money

2.5Time

2.5.1Units of Time

2.5.2Clocks

2.5.3Telling the Time

2.5.4Time of the Day

2.5.512-Hour & 24-Hour Clocks

2.5.6Measuring Time

3Year 3 - Geometry

3.1Angles

3.1.1Angles in Degrees

3.1.2Types of Angle

3.2Properties of Shapes

3.2.12D Shapes

3.2.23D Shapes

3.3Straight Lines

3.3.1Straight Lines

3.3.2Parallel & Perpendicular Lines

4Year 3 - Statistics

4.1Statistics

4.1.1Statistics

4.1.2Pictograms & Bar Charts

5Year 4 - Number

6Year 4 - Measurement

6.1Units

6.1.1Metric Measurements

6.1.2Adding & Subtracting Money

6.2Time

6.2.1Converting Units of Time

6.2.2Changing the 12-Hour Clock to the 24-Hour Clock

6.2.3Changing the 24-hour Clock to the 12-Hour Clock

7Year 4 - Geometry

7.1Properties of Shapes

7.1.1Symmetry

7.1.2Types of Triangle

7.1.3Quadrilaterals

7.2Perimeter & Area

7.2.1Perimeter

7.2.2Area

7.3Position & Direction

7.3.1Coordinates

7.3.2Translation

8Year 4 - Statistics

8.1Statistics

8.1.1Types of Data

8.1.2Pictograms & Bar Charts

8.1.3Line Graphs

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