Question

Simplify:

$2\frac{1}{7}\times 1\frac{3}{46}÷\frac{18}{23}\times \frac{5}{7}$

Answer 1

Step 1:- Convert the mixed fraction into simple fraction,

Given fraction is $2\frac{1}{7}\times 1\frac{3}{46}÷\frac{18}{23}\times \frac{5}{7}$

⇒ $\frac{2\times 7+1}{7}\times \frac{1\times 46+3}{46}÷\frac{18}{23}\times \frac{5}{7}$

$=\frac{15}{7}\times \frac{49}{46}÷\frac{18}{23}\times \frac{5}{7}$

Converting the division sign into multiplication by taking reciprocal of $\frac{18}{23}$ i.e. $\frac{23}{18}$,

⇒ $\frac{15}{7}\times \frac{49}{46}\times \frac{23}{18}\times \frac{5}{7}$

Step 2:- Simplify the solution,

$\frac{15\times 49\times 23\times 5}{7\times 46\times 18\times 7}=\frac{25}{12}$

Therefore,$2\frac{1}{7}\times 1\frac{3}{46}÷\frac{18}{23}\times \frac{5}{7}=\frac{25}{12}$ is the solution