Question

Solve for x in $\frac{x}{3}+1=\frac{7}{15}$

• A. $\frac{5}{8}$
• B. $\frac{-8}{5}$
• C. $\frac{-8}{5}$
• D. $\frac{5}{8}$

Answer 1

The correct option is B $\frac{-8}{5}$

We have, $\frac{x}{3}+1=\frac{7}{15}$

$\Rightarrow \frac{x}{3}+1-1=\frac{7}{15}-1$ [Subtracting 1 from both sides]

$\Rightarrow \frac{x}{3}=\frac{7-15}{15}$

$\Rightarrow \frac{x}{3}=\frac{-8}{15}$

$\Rightarrow \frac{x}{3}\times 3=\frac{-8}{15}\times 3$ [Multiplying both sides by 3]

$\therefore x=\frac{-8}{5}$