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.

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