To determine the ratio of the number of mops to the number of brooms, follow these steps:
1. Identify the number of mops:
- There are 6 mops.
2. Identify the number of brooms:
- There are 8 brooms.
3. Calculate the ratio by placing the number of mops over the number of brooms:
[tex]\[
\text{Ratio} = \frac{\text{Number of mops}}{\text{Number of brooms}} = \frac{6}{8}
\][/tex]
4. Simplify the fraction [tex]\(\frac{6}{8}\)[/tex]. To do this, find the greatest common divisor (GCD) of 6 and 8:
- The GCD of 6 and 8 is 2.
5. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
\][/tex]
6. Therefore, the ratio of the number of mops to the number of brooms is:
[tex]\[
\frac{3}{4}
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{\frac{3}{4}}
\][/tex]
