Question

Evaluate:

$2\frac{14}{25}\times \left(\frac{-5}{16}\right)$

Answer 1

Step1:Converting the mixed fraction in to an improper fraction

Given:$2\frac{14}{25}$

$2\frac{14}{25}=\frac{2\times 25+14}{25}$

$=\frac{50+14}{25}=\frac{64}{25}$

Step2:Finding the product of given
numbers

Given $2\frac{14}{25}\times \left(\frac{-5}{16}\right)$

$=\frac{64}{25}\times (-\frac{5}{16})$

$productoftworationalnumbers=\frac{productofthenumerators}{productofthedenominators}$

$\therefore \frac{64}{25}\times \left(\frac{-5}{16}\right)=-\frac{64\times 5}{25\times 16}$

$=\frac{16\times 4\times 5}{5\times 5\times 16}$

$=-\frac{4}{5}$

Hence, the required product is $-\frac{4}{5}$.