To find the ratio of the number of brooms to the number of mops, we follow these steps:
1. Identify the numbers involved:
- Number of brooms: 6
- Number of mops: 4
2. Determine the ratio:
- The ratio of brooms to mops is given by the formula:
[tex]\[
\text{Ratio} = \frac{\text{Number of brooms}}{\text{Number of mops}}
\][/tex]
Substituting in the given numbers:
[tex]\[
\text{Ratio} = \frac{6}{4}
\][/tex]
3. Simplify the fraction:
- To simplify [tex]\(\frac{6}{4}\)[/tex], we find the greatest common divisor (GCD) of the numerator and the denominator, which is 2.
- Divide both the numerator and the denominator by their GCD (2):
[tex]\[
\frac{6 \div 2}{4 \div 2} = \frac{3}{2}
\][/tex]
4. Write the simplified ratio:
- Therefore, the simplified ratio of brooms to mops is [tex]\(\frac{3}{2}\)[/tex].
Thus, the answer is C. [tex]\(\frac{3}{2}\)[/tex].
