Question

A rod of length 2 metres is cut into two pieces. If one piece measures $\frac{2}{3}\text{metres},$
how long is the other piece?

• A. $\frac{4}{3}\text{metres}$
• B. $\frac{5}{3}\text{metres}$
• C. $\frac{1}{3}\text{metres}$
• D. $\frac{8}{3}\text{metres}$

Answer 1

The correct option is A $\frac{4}{3}\text{metres}$

Length of the rod = 2 metres
Length of a piece obtained from the rod $=\frac{2}{3}\text{metres}$
$\therefore \text{Length of the other piece}=2-\frac{2}{3}$

$=\frac{2\times 3}{1\times 3}-\frac{2}{3}=\frac{6}{3}-\frac{2}{3}=\frac{4}{3}\text{metres}$