Question

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

• A. $x=\frac{2}{3}$
• B. $x=\frac{-8}{5}$
• C. $x=\frac{-6}{5}$
• D. $x=\frac{7}{8}$

Answer 1

Answer: (B)

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

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

$\Rightarrow \frac{x}{3}=\frac{7}{15}-1$

$\Rightarrow \frac{x}{3}=\frac{7-15}{15}$ ...[By taking LCM on RHS]

$\Rightarrow \frac{x}{3}=\frac{-8}{15}\Rightarrow x=\frac{-8\times 3}{15}=\frac{-8}{5}$