To find the ratio of the number of brooms to the number of mops, we divide the number of brooms by the number of mops. Here are the steps:
1. Identify the number of brooms: There are 6 brooms.
2. Identify the number of mops: There are 4 mops.
3. Calculate the ratio 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]
4. Simplify the fraction [tex]\(\frac{6}{4}\)[/tex]. To do this, we find the greatest common divisor (GCD) of 6 and 4, which is 2. Then we divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{6 \div 2}{4 \div 2} = \frac{3}{2}
\][/tex]
So, the simplified ratio of the number of brooms to the number of mops is [tex]\(\frac{3}{2}\)[/tex].
Therefore, the correct answer is:
A. [tex]\(\frac{3}{2}\)[/tex]
