We have #160; 215÷225 = x2 ⇒115÷225 = x2 ⇒115×522 = x2 ⇒11×12 = x2 [ divide 11& 22 by 11 we get 1& 2 respectively,and cancle 5] ...

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Division of Fractions

215÷225= x2...

Question

$2 \frac{1}{5} \div \frac{22}{5} =$ $\frac{x}{2}$ . Find x.

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Solution

We have
$2 \frac{1}{5} \div \frac{22}{5} = \frac{x}{2}$

$\Rightarrow \frac{11}{5} \div \frac{22}{5} = \frac{x}{2}$

$\Rightarrow \frac{11}{5} \times \frac{5}{22} = \frac{x}{2}$

$\Rightarrow \frac{1}{1} \times \frac{1}{2} = \frac{x}{2} [d i v i d e 11 & 22 b y 11 w e g e t 1 & 2 r e s p e c t i v e l y, a n d c a n c l e 5]$

$\Rightarrow \frac{1}{2} = \frac{x}{2} [c a n c e l l i n g 2 b o t h s i d e s]$

$∴ x = 1$
Hence the value of $x = 1$

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