To determine the ratio of the number of mops to the number of brooms, follow these steps:
1. Identify the quantities:
- Number of brooms: 8
- Number of mops: 6
2. Set up the ratio:
The ratio of the number of mops to the number of brooms is expressed as:
[tex]\[
\text{Ratio of mops to brooms} = \frac{\text{Number of mops}}{\text{Number of brooms}}
\][/tex]
3. Insert the numbers into the ratio:
Substituting the given values:
[tex]\[
\text{Ratio of mops to brooms} = \frac{6}{8}
\][/tex]
4. Simplify the fraction:
To simplify \(\frac{6}{8}\), find the greatest common divisor (GCD) of 6 and 8, which is 2. Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
\][/tex]
5. State the final ratio:
The simplified ratio of the number of mops to the number of brooms is \(\frac{3}{4}\).
Hence, the correct answer is:
A. [tex]\(\frac{3}{4}\)[/tex]
