To determine the ratio of 1.5 meters to 10 centimeters, let's follow these steps:
1. Convert meters to centimeters:
- We know that 1 meter is equal to 100 centimeters. Therefore, to convert 1.5 meters into centimeters, we use the following conversion:
[tex]\[
1.5 \, \text{meters} = 1.5 \times 100 \, \text{centimeters} = 150 \, \text{centimeters}
\][/tex]
- Now we have the measurements in the same units: 150 centimeters and 10 centimeters.
2. Set up the ratio:
- The given ratio is now transformed into a comparision between 150 centimeters and 10 centimeters.
[tex]\[
\text{Ratio} = 150 \, \text{cm} : 10 \, \text{cm}
\][/tex]
3. Simplify the ratio:
- To simplify the ratio, we divide both numbers by their greatest common divisor. The greatest common divisor of 150 and 10 is 10.
[tex]\[
\frac{150 \, \text{cm}}{10} : \frac{10 \, \text{cm}}{10} = 15 : 1
\][/tex]
4. Write the ratio in its simplest form:
- The simplified form of the ratio of 1.5 meters to 10 centimeters is:
[tex]\[
15 : 1
\][/tex]
The correct answer to the given question is:
d. [tex]$15: 1$[/tex]
