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1/2. Equivalent Fractions. All these fractions are equivalent to ½ since they take up the same proportion of the shape. They are the result of multiplying ½ by 2/2, 3/3. 4/4, etc. 2. 10. 3. 4. 6. 5. x ½. x ½. x ½. x ½. x ½. x ½. 6. 4. 10. 3. 2. 5. 50. x ½. 50.

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  1. 1/2 Equivalent Fractions All these fractions are equivalent to ½ since they take up the same proportion of the shape. They are the result of multiplying ½ by 2/2, 3/3. 4/4, etc.

  2. 2 10 3 4 6 5 x ½ x ½ x ½ x ½ x ½ x ½ 6 4 10 3 2 5 50 x ½ 50 Equivalent Fractions

  3. 1/3 Equivalent Fractions All these fractions are equivalent to 1/3 since they take up the same proportion of the shape. They are the result of multiplying 1/3 by 2/2, 3/3. 4/4, etc.

  4. 5 6 2 4 3 1 1 1 1 1 x x x x x 3 5 6 2 4 3 3 3 3 3 30 1 x 10 1 x 30 3 3 10 Equivalent Fractions

  5. 1/4 Equivalent Fractions All these fractions are equivalent to ¼ since they take up the same proportion of the shape. They are the result of multiplying ¼ by 2/2, 3/3. 4/4, etc.

  6. 2 4 16 8 1 1 1 1 x x x x 8 4 2 16 4 4 4 4 Equivalent Fractions

  7. 2/5 Equivalent Fractions All these fractions are equivalent to 2/5 since they take up the same proportion of the shape. They are the result of multiplying 2/5 by 2/2, 3/3. 4/4, etc.

  8. 4 5 2 6 3 2 2 2 2 2 x x x x x 3 5 6 4 2 5 5 5 5 5 Equivalent Fractions

  9. 3/8 Equivalent Fractions All these fractions are equivalent to 3/8 since they take up the same proportion of the shape. They are the result of multiplying 3/8 by 2/2, 3/3. 4/4, etc.

  10. 5 2 6 3 4 3 3 3 3 3 x x x x x 4 5 3 6 2 8 8 8 8 8 10 3 x 8 10 Equivalent Fractions

  11. Simplest Form Writing Fractions in Simplest Form If a fraction can be simplified then we know that it’s numerator and denominator are both multiples of some number. To get the fraction in its simplestform we divide both the numerator and denominator by their highest common factor (HCF).

  12. Example: Simplify Writing Fractions in their Simplest Form  HCF of 6 and 18 = 6 so dividing top and bottom by 6 gives:

  13. Example 1: Simplify Writing Fractions in their Simplest Form   Note that dividing by a factor (in this case 2) that is not the HCF will not give you the fraction in simplest form.

  14. Example 2: Simplify Writing Fractions in their Simplest Form  HCF of 10 and 25 = 5 so dividing top and bottom by 5 gives:

  15. Example 3: Simplify Writing Fractions in their Simplest Form  HCF of 18 and 48 = 6 so dividing top and bottom by 6 gives:

  16. Example 3: Simplify Writing Fractions in their Simplest Form   Again, dividing by a factor (in this case 3) that is not the HCF will not give you the fraction in simplest form.

  17. Questions Writing Fractions in their Simplest Form Express the following fractions in their simplest form.

  18. Worksheet Writing Fractions in their Simplest Form Express the following fractions in their simplest form.

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