Question

Express the ratio in simplest form.

An office copy machine can make a reduction to$90\%$ , thus making the copy slightly smaller than the original. What is the ratio of the length of a line of text in the original to the length of a copy of that line?

Short answer

The ratio of the original length of a line of text with the length of a copy of that line is$10:9$ .

Step-by-step solution

Step 1. Given information.

It is given that a machine makes a reduction to$90\%$ of the length of a line.

Step 2. Concept used.

Ratio of two numbers is a quotient when a number is divided by other.

Then,

length of the copy of line = $90\%$of length of the original line

Step 3. Find the ratio.

Find the ratio of the original length of a line of text with the length of a copy of that line.

Ratio$=\frac{100\%}{90\%}$

$=\frac{10}{9}$

Therefore, the ratio of the original length of a line of text with the length of a copy of that line is$10:9$ .