Question

$\frac{9}{4}\times 3\frac{4}{5}÷5\frac{2}{11}=$ $1\frac{x}{20}$. Find x.

Answer 1

For the value of $x$, we have to solve the given equatio:-

$\Rightarrow \frac{9}{4}\times 3\frac{4}{5}÷5\frac{2}{11}=1\frac{x}{20}$

$\Rightarrow \frac{9}{4}\times \frac{19}{5}÷\frac{57}{11}=\frac{20+x}{20}$

$\Rightarrow \frac{9}{4}\times \frac{19}{5}\times \frac{11}{57}=\frac{20+x}{20}$ {Apply BODMAS}

$\Rightarrow \frac{3\times 11}{4\times 5}=\frac{20+x}{20}$ {Divide $57$ by $19$ we get & Divide $9$ by $3$, we get}

$\Rightarrow \frac{3\times 11}{4\times 5}=\frac{20+x}{20}$ {cancle $20$ both sides}

$\Rightarrow x=33-20$

$\therefore x=13$