Question

If $\frac{x}{3}+1=\frac{7}{15}$, then $\frac{x}{3}=\frac{6}{15}$ State whether the statement is true $\left(T\right)$ or false $\left(F\right)$.

• A. True
• B. False

Answer 1

The correct option is B False

Explanation for the correct option.

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

Subtract $1$ from both sides.

$$\begin{gathered} \Rightarrow \frac{x}{3}=\frac{7}{15}-1 \\ \Rightarrow \frac{x}{3}=\frac{7-15}{15} \\ \Rightarrow \frac{x}{3}=\frac{-8}{15} \end{gathered}$$

Hence, the given statement is False $\left(F\right)$.