Simplify: $\frac{2}{5}-\frac{3}{10}+\frac{7}{15}$.

Given: $\frac{2}{5}-\frac{3}{10}+\frac{7}{15}$.

To do: To simplify: $\frac{2}{5}-\frac{3}{10}+\frac{7}{15}$.
 

Solution:

$\frac{2}{5}-\frac{3}{10}+\frac{7}{15}$

$=\frac{2}{5}\times\frac{6}{6}-\frac{3}{10}\times\frac{3}{3}+\frac{7}{15}\times\frac{2}{2}$          [On taking L.C.M. of $5,\ 10,\ 15$]

$=\frac{12}{30}-\frac{9}{30}+\frac{14}{30}$

$=\frac{12-9+14}{30}$

$=\frac{17}{30}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

31 Views

Kickstart Your Career

Get certified by completing the course

Get Started