Question

Find the equivalent fraction of $\frac{3}{5}$ having

1. denominator 20
2. numerator 9
3. denominator 30
4. numerator 27

Answer 1

(a) Denominator 20

We need to multiply the fraction $\frac{3 }{ 5}$ by a number that gives $20$ the denominator.

$\frac{3 }{ 5} × \frac{4 }{ 4} = \frac{12 }{ 20. }$

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(b) Numerator 9

We need to multiply the fraction $\frac{3 }{ 5}$ by a number that gives $9$ as result in the numerator.

$\frac{3}{ 5} × \frac{3 }{ 3} = \frac{9 }{ 15}$

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(c) Denominator 30

We need to multiply fraction $\frac{3 }{ 5}$ with a number that gives $30$ as result in the denominator.

$\frac{3 }{ 5} × \frac{6 }{ 6} = \frac{18 }{30.}$

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(d) Numerator 27

We need to multiply the fraction $\frac{3 }{ 5}$ by a number that gives $27$ as result in the numerator.

$\frac{3}{ 5} × \frac{9 }{ 9} = \frac{27 } {45}$.