By what number should we multiply $\frac{-15}{28}$ so that the product may be $\frac{-5}{7}$?

To do:

We have to find the number that should be multiplied by $\frac{-15}{28}$ so that the product is $\frac{-5}{7}$.

Solution:

Let the number that should be multiplied by $\frac{-15}{28}$ so that the product is $\frac{-5}{7}$ be $x$.

This implies,

$\frac{-15}{28}\times x=\frac{-5}{7}$

$x=\frac{-5}{7}\div\frac{-15}{28}$

$x=\frac{-5}{7}\times\frac{28}{-15}$

$x=\frac{-5\times28}{7\times-15}$

$x=\frac{1\times4}{1\times3}$

$x=\frac{4}{3}$

Therefore, the other number is $\frac{4}{3}$.      

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

414 Views

Kickstart Your Career

Get certified by completing the course

Get Started