Question

The ratio of the lengths of two segments is$4:3$ when they are measured in centimeters. What is their ratio when they are measured in inches?

Short answer

The required ratio is$4:3$ .

Step-by-step solution

Step 1. Given information.

Ratio of lengths of two-line segments when measured in centimetres is$4:3$ .

Step 2. Formula used.

$1\text{\hspace{0.17em}cm=\hspace{0.17em}}\frac{1}{2.54}\text{inches}$

Step 3. Find the ratio.

therefore.

$\begin{array}{c}=\frac{4}{3}\\ =\frac{4\times \frac{1}{2.54}}{3\times \frac{1}{2.54}}\\ =\frac{4}{3}=4:3\end{array}$

Answer is same because ratio has no unit.

Therefore, the answer is $4:3$.