Find the missing number and express it as a fraction in its simplest form.$... \div \frac{3}{4} = \frac{10}{11}$

Given :

The given expression is $... \div \frac{3}{4} = \frac{10}{11}$

To do :

We have to find the missing number and express it in its simples fraction.

Solution :

Let the missing number be a.

This implies,

$a \div \frac{3}{4} = \frac{10}{11}$

We know that,

$a\div \frac{b}{c} = \frac{a\times c}{b}$

Therefore,

$a \div \frac{3}{4} = \frac{10}{11}$

$\frac{a\times 4}{3} = \frac{10}{11}$

$4a \times 11 = 10 \times 3$

$44a = 30$

$a = \frac{30}{44}$

$a = \frac{15}{22}$

The missing number in its simplest form is $\frac{15}{22}$.

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Updated on: 10-Oct-2022

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