To find the ratio of the number of brooms to the number of mops, you need to compare the two quantities by dividing the number of brooms by the number of mops.
Given:
- Number of brooms = 6
- Number of mops = 4
The ratio of brooms to mops is calculated by dividing the number of brooms by the number of mops:
[tex]\[
\text{Ratio} = \frac{\text{Number of brooms}}{\text{Number of mops}} = \frac{6}{4}
\][/tex]
Next, simplify the fraction [tex]\(\frac{6}{4}\)[/tex]. To simplify, divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6 and 4 is 2.
[tex]\[
\frac{6 \div 2}{4 \div 2} = \frac{3}{2}
\][/tex]
Thus, the simplified ratio of the number of brooms to the number of mops is [tex]\(\frac{3}{2}\)[/tex].
Hence, the correct answer is:
C. [tex]\(\frac{3}{2}\)[/tex]
