Question

Find it: Ans is 156 1/4 but how can solve ?​

Answer 1

Answer:

$(2 \frac{1}{7} \div \frac{15}{25} ) \div ( \frac{4}{( \frac{2}{5} )} )$

$\frac{ (\frac{15}{7} )}{ (\frac{15}{25} )} \div 10$

$= > \frac{25}{7} \div 10$

$= > \frac{5}{14}$

Answer 2

$\sf \Bigg ( 2 \dfrac{1}{7} \div \dfrac{15}{25} \Bigg ) \div \Bigg ( 4 \div \dfrac{2}{5} \Bigg )$

$\sf \implies \Bigg ( \dfrac{7 \times 2 +1}{7} \div \dfrac{15}{25} \Bigg ) \div \Bigg ( {\cancel{4}}^{2} \times \dfrac{5}{\cancel{2}} \Bigg )$

$\sf \implies \Bigg ( \dfrac{15}{7} \div \dfrac{15}{25} \Bigg ) \div 10$

$\sf \implies \Bigg ( \dfrac{ \cancel{15}}{7} \times \dfrac{25}{ \cancel{15}} \Bigg ) \div 10$

$\sf \implies \dfrac{25}{7} \div 10$

$\sf \implies \dfrac{{\cancel{25}}^{5}}{7} \times \dfrac{1}{{\cancel{10}}^2}$

$\sf \implies \dfrac{5}{14}$

This is the correct answer!

The answer what you wrote is wrong.

On Division, the 1st fraction will be multiplied by the reciprocal of the second fraction.