© T Madas

Imagine two identical cakes We slice each of them into equal portions The slices in the first cake are bigger Some of the cake is taken away What portion has been taken away from each cake?

Imagine two identical cakes These fractions are called Equivalent Fractions They are in fact the same fraction =

© T Madas Let’s Find Some Equivalent Fractions

© T Madas The fraction of has been shaded on several diagrams below:

© T Madas The fraction of has been shaded on several diagrams below:

© T Madas The fraction of has been shaded on several diagrams below:

© T Madas How do we find equivalent fractions without diagrams? x x x

© T Madas How do we find equivalent fractions without diagrams? x x x

© T Madas x 6 12 What is the missing numerator so that the two fractions are equivalent? x 4 16

© T Madas x 5 15 What is the missing numerator so that the two fractions are equivalent? x 6 24

© T Madas x 3 6 What is the missing numerator so that the two fractions are equivalent? x 9 9

© T Madas Now we start with a fraction with “big” numerator and denominator. We will try to find an equivalent fraction with smaller numerator and denominator. This is called cancelling down

What is in its simplest form?

© T Madas What is in its simplest form?

© T Madas Cancel down these fractions, to their simplest form: ÷ ÷ ÷ 3 5 1

© T Madas Cancel down these fractions, to their simplest form: ÷ ÷ 3 5 4

© T Madas Cancel down these fractions, to their simplest form: ÷ ÷ ÷ 5 6 5

© T Madas We can cancel down in stages. [usually with bigger numbers] ÷ ÷ ÷ 6

© T Madas ÷ ÷ We can cancel down in stages. [usually with bigger numbers] ÷ ÷ ÷ 24

© T Madas Fraction Wall

© T Madas

1 whole 1/21/2 1/31/3 1/41/4 1/51/5 1/61/6 1/71/7 1/81/8 1/91/9 1 / 10 1 / 11 1 / 12 1 / 13 1 / 14 1 / 15 1 / 16

© T Madas 1 whole

© T Madas 1 whole 1/21/2 2/42/4 3/63/6 4/84/8 5 / 10 6 / 12 7 / 14 8 / 16

© T Madas 1 whole 1/21/2 1/31/3 1/41/4 1/51/5 1/61/6 1/71/7 1/81/8 1/91/9 1 / 10 1 / 11 1 / 12 1 / 13 1 / 14 1 / 15 1 / 16

© T Madas 1 whole 1/31/3 2/62/6 3/93/9 4 / 12 5 / 15

© T Madas 1 whole 1/21/2 1/31/3 1/41/4 1/51/5 1/61/6 1/71/7 1/81/8 1/91/9 1 / 10 1 / 11 1 / 12 1 / 13 1 / 14 1 / 15 1 / 16

© T Madas 1 whole 1/41/4 2/82/8 3 / 12 4 / 16

© T Madas

12 What is the missing numerator so that the two fractions are equivalent? x3x3 x3x3 x4x4 x4x4 x2x2 x2x2 x2x2 x2x2

© T Madas 15 What is the missing numerator so that the two fractions are equivalent? x3x3 x3x3 x5x5 x5x5 x4x4 x4x4 x5x5 x5x5

© T Madas 30 What is the missing numerator so that the two fractions are equivalent? x6x6 x6x6 x7x7 x7x7 x9x9 x9x9 x8x8 x8x8

© T Madas 16 What is the missing numerator so that the two fractions are equivalent? x4x4 x4x4 x3x3 x3x3 x9x9 x9x9 x5x5 x5x5

© T Madas 30 What is the missing numerator so that the two fractions are equivalent? x6x6 x6x6 x4x4 x4x4 x3x3 x3x3 x6x6 x6x6

© T Madas 30 What is the missing numerator so that the two fractions are equivalent? x6x6 x6x6 x7x7 x7x7 x9x9 x9x9 x8x8 x8x8

© T Madas 10 What is the missing numerator so that the two fractions are equivalent? x2x2 x2x2 x3x3 x3x3 x5x5 x5x5 x4x4 x4x4

© T Madas 14 What is the missing numerator so that the two fractions are equivalent? x7x7 x7x7 x 10 x5x5 x5x5 x7x7 x7x7

© T Madas 30 What is the missing numerator so that the two fractions are equivalent? x6x6 x6x6 x 12 x7x7 x7x7 x9x9 x9x9

© T Madas 12 What is the missing numerator so that the two fractions are equivalent? x3x3 x3x3 x6x6 x6x6 x5x5 x5x5 x4x4 x4x4

© T Madas 35 What is the missing numerator so that the two fractions are equivalent? x7x7 x7x7 x3x3 x3x3 x9x9 x9x9 x8x8 x8x8

© T Madas 14 What is the missing numerator so that the two fractions are equivalent? x 14 x 12 x 13 x 11

© T Madas

4 Cancel down each of the following fractions to their simplest form ÷3÷3 ÷3÷3 ÷4÷4 ÷4÷4 ÷2÷2 ÷2÷2 ÷2÷2 ÷2÷2

© T Madas 5 Cancel down each of the following fractions to their simplest form ÷3÷3 ÷3÷3 ÷5÷5 ÷5÷5 ÷4÷4 ÷4÷4 ÷5÷5 ÷5÷5

© T Madas 5 Cancel down each of the following fractions to their simplest form ÷6÷6 ÷6÷6 ÷7÷7 ÷7÷7 ÷9÷9 ÷9÷9 ÷8÷8 ÷8÷8

© T Madas 4 Cancel down each of the following fractions to their simplest form ÷4÷4 ÷4÷4 ÷3÷3 ÷3÷3 ÷9÷9 ÷9÷9 ÷5÷5 ÷5÷5

© T Madas 5 Cancel down each of the following fractions to their simplest form ÷6÷6 ÷6÷6 ÷4÷4 ÷4÷4 ÷3÷3 ÷3÷3 ÷6÷6 ÷6÷6

© T Madas 5 Cancel down each of the following fractions to their simplest form ÷6÷6 ÷6÷6 ÷7÷7 ÷7÷7 ÷9÷9 ÷9÷9 ÷8÷8 ÷8÷8

© T Madas 5 Cancel down each of the following fractions to their simplest form ÷2÷2 ÷2÷2 ÷3÷3 ÷3÷3 ÷5÷5 ÷5÷5 ÷4÷4 ÷4÷4

© T Madas 2 Cancel down each of the following fractions to their simplest form ÷7÷7 ÷7÷7 ÷ 10 ÷5÷5 ÷5÷5 ÷7÷7 ÷7÷7

© T Madas 8 Cancel down each of the following fractions to their simplest form ÷4÷4 ÷4÷4 ÷ 12 ÷7÷7 ÷7÷7 ÷9÷9 ÷9÷9

© T Madas 4 Cancel down each of the following fractions to their simplest form ÷3÷3 ÷3÷3 ÷6÷6 ÷6÷6 ÷5÷5 ÷5÷5 ÷4÷4 ÷4÷4

© T Madas 5 Cancel down each of the following fractions to their simplest form ÷7÷7 ÷7÷7 ÷3÷3 ÷3÷3 ÷9÷9 ÷9÷9 ÷8÷8 ÷8÷8

© T Madas 1 Cancel down each of the following fractions to their simplest form ÷ 14 ÷ 12 ÷ 13 ÷ 11

© T Madas

12 What is the missing numerator so that the two fractions are equivalent? x3x3 x3x3 x4x4 x4x4 x2x2 x2x2 x2x2 x2x x3x3 x3x3 x5x5 x5x5 x4x4 x4x4 x5x5 x5x5

© T Madas x3x3 x3x3 x6x6 x6x6 x5x5 x5x5 x4x4 x4x4 30 What is the missing numerator so that the two fractions are equivalent? x6x6 x6x6 x7x7 x7x7 x9x9 x9x9 x8x8 x8x8

© T Madas x6x6 x6x6 x4x4 x4x4 x3x3 x3x3 x6x6 x6x6 16 What is the missing numerator so that the two fractions are equivalent? x4x4 x4x4 x3x3 x3x3 x9x9 x9x9 x5x5 x5x5

© T Madas x2x2 x2x2 x3x3 x3x3 x5x5 x5x5 x4x4 x4x4 30 What is the missing numerator so that the two fractions are equivalent? x6x6 x6x6 x7x7 x7x7 x9x9 x9x9 x8x8 x8x8

© T Madas x6x6 x6x6 x 12 x7x7 x7x7 x9x9 x9x9 14 What is the missing numerator so that the two fractions are equivalent? x7x7 x7x7 x 10 x5x5 x5x5 x7x7 x7x7

© T Madas x7x7 x7x7 x3x3 x3x3 x9x9 x9x9 x8x8 x8x x 14 x 12 x 13 x 11 What is the missing numerator so that the two fractions are equivalent?

© T Madas

÷3÷3 ÷3÷3 ÷5÷5 ÷5÷5 ÷4÷4 ÷4÷4 ÷5÷5 ÷5÷5 4 Cancel down each of the following fractions to their simplest form ÷3÷3 ÷3÷3 ÷4÷4 ÷4÷4 ÷2÷2 ÷2÷2 ÷2÷2 ÷2÷2

© T Madas ÷4÷4 ÷4÷4 ÷3÷3 ÷3÷3 ÷9÷9 ÷9÷9 ÷5÷5 ÷5÷5 5 Cancel down each of the following fractions to their simplest form ÷6÷6 ÷6÷6 ÷7÷7 ÷7÷7 ÷9÷9 ÷9÷9 ÷8÷8 ÷8÷8

© T Madas ÷6÷6 ÷6÷6 ÷7÷7 ÷7÷7 ÷9÷9 ÷9÷9 ÷8÷8 ÷8÷8 5 Cancel down each of the following fractions to their simplest form ÷6÷6 ÷6÷6 ÷4÷4 ÷4÷4 ÷3÷3 ÷3÷3 ÷6÷6 ÷6÷6

© T Madas ÷7÷7 ÷7÷7 ÷ 10 ÷5÷5 ÷5÷5 ÷7÷7 ÷7÷7 5 Cancel down each of the following fractions to their simplest form ÷2÷2 ÷2÷2 ÷3÷3 ÷3÷3 ÷5÷5 ÷5÷5 ÷4÷4 ÷4÷4

© T Madas ÷3÷3 ÷3÷3 ÷6÷6 ÷6÷6 ÷5÷5 ÷5÷5 ÷4÷4 ÷4÷4 8 Cancel down each of the following fractions to their simplest form ÷4÷4 ÷4÷4 ÷ 12 ÷7÷7 ÷7÷7 ÷9÷9 ÷9÷9

© T Madas ÷ 14 ÷ 12 ÷ 13 ÷ 11 5 Cancel down each of the following fractions to their simplest form ÷7÷7 ÷7÷7 ÷3÷3 ÷3÷3 ÷9÷9 ÷9÷9 ÷8÷8 ÷8÷8

© T Madas