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There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the number of brooms to the number of mops?

A. [tex]\frac{3}{2}[/tex]

B. [tex]\frac{2}{3}[/tex]

C. [tex]\frac{5}{3}[/tex]

D. [tex]\frac{3}{5}[/tex]

Sagot :

GinnyAnswer
To determine the ratio of the number of brooms to the number of mops, you need to follow these steps:

1. Count the number of brooms: There are 6 brooms.
2. Count the number of mops: There are 4 mops.
3. Form the ratio: The ratio is the number of brooms divided by the number of mops. Express this as a fraction: [tex]\(\frac{\text{number of brooms}}{\text{number of mops}} = \frac{6}{4}\)[/tex].
4. Simplify the fraction: To simplify [tex]\(\frac{6}{4}\)[/tex], find the greatest common divisor (GCD) of 6 and 4, which is 2. Divide both the numerator and the denominator by 2:
[tex]\[ \frac{6 \div 2}{4 \div 2} = \frac{3}{2} \][/tex]

Therefore, the simplified ratio of the number of brooms to the number of mops is [tex]\(\frac{3}{2}\)[/tex].

So, the correct answer is:
A. [tex]\(\frac{3}{2}\)[/tex]
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