Question

A wire of length $\frac{30}{7}\mathrm{ft}$ is cut into some parts such that each part has a length of $\frac{3}{14}\mathrm{ft}$. How many parts is the wire cut into?

• A. 20
• B. 30
• C. 15
• D. 16

Answer 1

The correct option is A 20

The number of parts can be calculated by dividing $\frac{30}{7}\mathrm{by}\frac{3}{14}$
$=\frac{30}{7}÷\frac{3}{14}=\frac{30}{7}\times \frac{14}{3}=\frac{30\times 14}{7\times 3}=\frac{3\times 10\times 7\times 2}{2\times 7}=\frac{10\times 2}{1}=20$
Hence, number of parts of the wire = 20