Question

To the nearest​ millimeter, a cell phone is 82 mm long and 40 mm wide. What is the ratio of the width to the​ length?
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Part 1
The ratio of the width to the length is
  
enter your response here. ​(Type the ratio as a simplified​ fraction.)

Answer 1

To find the ratio of the width to the length of the cell phone, you can use the given dimensions:

- Width = 40 mm
- Length = 82 mm

The ratio of the width to the length is calculated as follows:

\[
\text{Ratio} = \frac{\text{Width}}{\text{Length}} = \frac{40 \text{ mm}}{82 \text{ mm}}
\]

Next, simplify the fraction:

\[
\frac{40}{82}
\]

To simplify, find the greatest common divisor (GCD) of 40 and 82. The GCD is 2:

\[
\frac{40 \div 2}{82 \div 2} = \frac{20}{41}
\]

Thus, the simplified ratio of the width to the length is:

\[
\frac{20}{41}
\]

So, the answer is:

**The ratio of the width to the length is \( \frac{20}{41} \).**