To find the ratio of the number of mops to the number of brooms, we can follow these steps:
1. Identify the number of mops and brooms. According to the problem, there are 6 mops and 8 brooms.
2. The ratio of mops to brooms can be expressed as the fraction of 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]
3. Simplify the fraction [tex]\(\frac{6}{8}\)[/tex]. To do this, find the greatest common divisor (GCD) of 6 and 8, which is 2. Then, divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
\][/tex]
Therefore, the ratio of the number of mops to the number of brooms is [tex]\(\frac{3}{4}\)[/tex].
Thus, the correct answer is:
B. [tex]\(\frac{3}{4}\)[/tex]
