Question

evaluate 5/2*1/7+3/5+1/7*11/2​

Answer 1

Correct Question :-

Evaluate —

$\rm{ \frac{5}{2} \times \frac{1}{7} + \frac{3}{5} + \frac{1}{7} \times \frac{11}{2} }$

Correct Answer :-

Here's the evaluation for the given fraction expressions;

$\to \: \frac{5\times 1}{2\times 7}+\frac{3}{5}+\frac{1}{7}\times \left(\frac{11}{2}\right)$

$\to \: \frac{5}{14}+\frac{3}{5}+\frac{1}{7}\times \left(\frac{11}{2}\right)$

$\to \: \frac{25}{70}+\frac{42}{70}+\frac{1}{7}\times \left(\frac{11}{2}\right)$

$\to \: \frac{25+42}{70}+\frac{1}{7}\times \left(\frac{11}{2}\right)$

$\to \: \frac{67}{70}+\frac{1}{7}\times \left(\frac{11}{2}\right)$

$\to \: \frac{67}{70}+\frac{1\times 11}{7\times 2}$

$\to \: \frac{67}{70}+\frac{11}{14}$

$\to \: \frac{67}{70}+\frac{55}{70}$

$\to \: \frac{67+55}{70}$

$\to \: \frac{122}{70}$

$\to \: \frac{ \cancel{122}}{ \cancel{70} }$

$\to \: \frac{61}{35}$

∴ Hence, the value for $\rm{ \frac{5}{2} \times \frac{1}{7} + \frac{3}{5} + \frac{1}{7} \times \frac{11}{2} }$ will be $\rm{\frac{61}{35}}$.