Solve:$\frac{2}{5} y\ -\ \frac{5}{8} y\ =\ \frac{5}{12}$

Given: $\frac{2}{5} y\ -\ \frac{5}{8} y\ =\ \frac{5}{12}$

To find: Here we have to find the value of $y$ in the given expression $\frac{2}{5} y\ -\ \frac{5}{8} y\ =\ \frac{5}{12}$.

Solution:

$\frac{2}{5} y\ -\ \frac{5}{8} y\ =\ \frac{5}{12}$

$\frac{8( 2) y\ -\ 5( 5) y}{40} \ =\ \frac{5}{12}$

$\frac{16y\ -\ 25y}{40} \ =\ \frac{5}{12}$

$\frac{-\ 9y}{40} \ =\ \frac{5}{12}$

$y\ =\ -\ \frac{5}{12} \ \times \ \frac{40}{9}$

$y\ =\ -\ \frac{5}{3} \ \times \ \frac{10}{9}$

$\mathbf{y\ =\ -\ \frac{50}{27}}$

So, value of $y\ =\ -\ \frac{50}{27}$.

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Updated on: 10-Oct-2022

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