To determine the ratio of the number of brooms to the number of mops, follow these steps:
1. Identify the Number of Each Item:
- There are 6 brooms.
- There are 4 mops.
2. Form the Ratio:
- The ratio is formed by comparing the number of brooms to the number of mops.
Hence, the ratio of brooms to mops is [tex]\( \frac{6}{4} \)[/tex].
3. Simplify the Ratio:
- To simplify [tex]\( \frac{6}{4} \)[/tex], we need to divide both the numerator and the denominator by their greatest common divisor (GCD). Here, 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].
Therefore, the correct answer is:
B. [tex]\( \frac{3}{2} \)[/tex]
