Question

The product of two fractions is 9/4 .If oneof them is 3/5 ,then the other is​

Answer 1

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Let x be the fraction

$\longmapsto \sf x \times \frac{3}{5} = \frac{9}{4}$

$\longmapsto \sf x = \frac{9}{4} \times \frac{5}{3}$

$\longmapsto \sf x = \frac{3}{4} \times 5$

$\longmapsto \boxed{ \sf x = \frac{15}{4}}$

Answer 2

Given -

• Product of two fractions is 9/4.
• One of them is ⅗.

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To find -

• Another fraction.

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Solution -

We have one fraction and need to find the other fraction. Firstly,

• Let the other fraction be x.

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It is given that product of both fractions is 9/4.

$\tt\dashrightarrow{\dfrac{3}{5} \times x = \dfrac{9}{4}}$

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We will transfer 3/5 from L.H.S to R.H.S, it becomes reciprocal when transferred.

$\tt\dashrightarrow{x = \dfrac{\cancel{9}}{4} \times \dfrac{5}{\cancel{3}}}$

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$\tt\dashrightarrow{x = \dfrac{3}{4} \times 5}$

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$\bf\dashrightarrow{x = \dfrac{15}{4}}$

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Hence,

• The another required fraction is 15/4.

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