Question

(5/2 - 16/5 × 3/5 + 1/4) : (26-14/10)

Answer 1

$( \frac{5}{2} - \frac{16}{5} \times \frac{3}{5} + \frac{1}{4} ) \div (26 - \frac{14}{10} )$

$= ( \frac{5}{2} - \frac{16 \times 3}{5 \times 5} + \frac{1}{4} ) \div ( 26 - \frac{7}{5} )$

$= ( \frac{5}{2} - \frac{48}{25} + \frac{1}{4} ) \div ( \frac{130}{5} - \frac{7}{5} )$

$= ( \frac{250}{100} - \frac{192}{100} + \frac{25}{100} ) \div \frac{130 - 7}{5}$

$= \frac{250 - 192 + 25}{100} \div \frac{123}{5}$

$= \frac{83}{100} \times \frac{5}{123}$

$= \frac{83}{20} \times \frac{1}{123}$

$= \frac{83 \times 1}{20 \times 123}$

$= \frac{83}{2460}$