Answer :
To find the ratio of the number of mops to the number of brooms, follow these steps:
1. Identify the quantities:
- Number of mops: 6
- Number of brooms: 8
2. Set up the ratio:
The ratio of mops to brooms is obtained by dividing the number of mops by the number of brooms.
[tex]\[ \text{Ratio of mops to brooms} = \frac{\text{Number of mops}}{\text{Number of brooms}} = \frac{6}{8} \][/tex]
3. Simplify the fraction:
To simplify the fraction \(\frac{6}{8}\), find the greatest common divisor (GCD) of 6 and 8, which is 2. Then divide both the numerator and the denominator by their GCD.
[tex]\[ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \][/tex]
4. Verify your simplified ratio:
The simplified ratio of the number of mops to the number of brooms is \(\frac{3}{4}\), which simplifies to 0.75 when converted to a decimal.
Thus, the correct answer is:
[tex]\[ \boxed{\frac{3}{4}} \][/tex]
So, the ratio of the number of mops to the number of brooms is [tex]\(\frac{3}{4}\)[/tex], which corresponds to option A.
1. Identify the quantities:
- Number of mops: 6
- Number of brooms: 8
2. Set up the ratio:
The ratio of mops to brooms is obtained by dividing the number of mops by the number of brooms.
[tex]\[ \text{Ratio of mops to brooms} = \frac{\text{Number of mops}}{\text{Number of brooms}} = \frac{6}{8} \][/tex]
3. Simplify the fraction:
To simplify the fraction \(\frac{6}{8}\), find the greatest common divisor (GCD) of 6 and 8, which is 2. Then divide both the numerator and the denominator by their GCD.
[tex]\[ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \][/tex]
4. Verify your simplified ratio:
The simplified ratio of the number of mops to the number of brooms is \(\frac{3}{4}\), which simplifies to 0.75 when converted to a decimal.
Thus, the correct answer is:
[tex]\[ \boxed{\frac{3}{4}} \][/tex]
So, the ratio of the number of mops to the number of brooms is [tex]\(\frac{3}{4}\)[/tex], which corresponds to option A.
