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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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