Question

1/2×2/5=1/6×2/5+1/5
by using appropriate ​

Answer 1

Answer:

$\frac{7}{15}$

Step-by-step explanation:

$(\frac{1}{2} * \frac{2}{5} )$ + $(\frac{1}{6} * \frac{2}{5} )$ + $\frac{1}{5}$

= $\frac{2}{5} (\frac{1}{2} + \frac{1}{6} )$ +  $\frac{1}{5}$

= $\frac{2}{5} (\frac{3+1}{6} )$ +  $\frac{1}{5}$

= $\frac{2}{5} (\frac{4}{6} )$ +  $\frac{1}{5}$

= $(\frac{2}{5} * \frac{4}{6} )$ +   $\frac{1}{5}$

= $(\frac{2}{5} * \frac{2}{3} )$ +   $\frac{1}{5}$

= $\frac{4}{15}$ +   $\frac{1}{5}$

= $\frac{4+3}{15}$

= $\frac{7}{15}$