2.1.2

Identifying Equivalent Fractions

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Identifying Equivalent Fractions

Some fractions have different denominators (numbers on the bottom), but can be equivalent. This means they describe the same amount.

<sup>4</sup>&frasl;<sub>8</sub> = <sup>1</sup>&frasl;<sub>2</sub>

4⁄8 = 1⁄2

  • Count these pizza slices. There are 8 slices in total. So half a pizza is 4 slices.
    • The fraction 4⁄8 is the same amount as 1⁄2. We call these equivalent fractions.
Checking equivalent fractions

Checking equivalent fractions

  • You can check that fractions are equivalent by simplifying them.
  • To simplify 4⁄8, find the largest number that you can divide both 4 and 8 by (the largest common factor).
    • The largest common factor is 4.
Simplify <sup>4</sup>&frasl;<sub>8</sub>

Simplify 4⁄8

  • So to simplify 4⁄8, divide both 4 and 8 by 4.
Simplest form = <sup>1</sup>&frasl;<sub>2</sub>

Simplest form = 1⁄2

  • So the simplest form of 4⁄8 is 1⁄2.
    • This means 4⁄8 and 1⁄2 are equivalent fractions.
Jump to other topics
1

Angles

1.1

7 Facts About Angles

1.1.1Facts About Angles1.1.2More Facts About Angles
1.2

Identify the Angle

1.2.1Identify the Angle
1.3

Angles on a Straight Line

1.3.1Angles on a Straight Line1.3.2Angles on a Straight Line - Practice Questions
1.4

Angles in a Circle

1.4.1Angles in a Circle
1.5

Angles in Triangles

1.5.1Angles in a Triangle
2

Fractions

2.1

Simplifying Fractions

2.1.1Simplifying Fractions2.1.2Identifying Equivalent Fractions
2.2

Improper Fractions & Mixed Numbers

2.2.1Improper Fractions & Mixed Numbers2.2.2Converting Mixed Numbers to Improper Fractions2.2.3Converting Improper Fractions to Mixed Numbers
2.3

Fractions of Numbers

2.3.1Fractions of Numbers
2.4

Expressing Shaded Areas as Fractions

2.4.1Expressing Shaded Areas as Fractions
3

Time

3.1

12-Hour & 24-Hour Clocks

3.1.1Difference Between 12-Hour & 24-Hour Clocks3.1.2Changing the 12-Hour Clock to the 24-Hour Clock3.1.3Changing the 24-hour Clock to the 12-Hour Clock
3.2

Time-Related Problems

3.2.1Time-Related Problems3.2.2Timetable & Schedule Problems
4

Prime Numbers

4.1

Prime Numbers

4.1.1Prime Numbers
5

Probability

5.1

Probability

5.1.1Probability Scale5.1.2Probability Fractions5.1.3Experimental Probability
6

Ratio

6.1

Ratios

6.1.1Ratios
7

Sequences

7.1

Constant Sequences

7.1.1Constant Increase Sequences7.1.2Constant Decrease Sequences
7.2

Doubling & Halving Sequences

7.2.1Doubling Sequences7.2.2Halving Sequences
7.3

Alternating Patterns & Two-Step Sequences

7.3.1Alternating Pattern Sequences
7.4

Two-Step Patterns

7.4.1Two-Step Patterns
7.5

The nth Term

7.5.1Find the nth Term7.5.2Using the nth Term
8

Area & Perimeter

8.1

Perimeter of a Quadrilateral

8.1.1Finding the Perimeter of a Quadrilateral8.1.2Finding the Missing Length
8.2

Area of a Quadrilateral

8.2.1Finding the Area of a Quadrilateral8.2.2Finding the Missing Side of a Rectangle8.2.3Finding the Missing Side of a Square8.2.4Finding the Area of Irregular Shapes
8.3

Area of a Triangle

8.3.1Finding the Area of a Triangle

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Simplifying Fractions

Improper Fractions & Mixed Numbers