Question

Find the value of x in the equation $\frac{2}{5}+x=\frac{3}{5}.$

• A. 1
• B. $\frac{1}{5}$
• C. $\frac{-1}{5}$
• D. -1

Answer 1

The correct option is B

$\frac{1}{5}$

The given equation is:
$\frac{2}{5}+x=\frac{3}{5}$

Subtracting $\frac{2}{5}$ on both sides, we get:

$\to \frac{2}{5}+x-\frac{2}{5}=\frac{3}{5}–\frac{2}{5}$

$\to x=\frac{(3\times 5)-(5\times 2)}{5\times 5}$

$\to x=\frac{15-10}{25}$

$\to x=\frac{5}{25}$

$\to x=\frac{1}{5}$