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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]$\frac{5}{3}$[/tex]
B. [tex]$\frac{3}{2}$[/tex]
C. [tex]$\frac{2}{3}$[/tex]
D. [tex]$\frac{3}{5}$[/tex]

Sagot :

GinnyAnswer
To find the ratio of the number of brooms to the number of mops, we follow these steps:

1. Identify the quantities given:
- Number of brooms = 6
- Number of mops = 4

2. Set up the ratio:
A ratio is a way to compare two quantities by division. We want the ratio of brooms to mops.
The ratio can be represented as:
[tex]\[ \text{Ratio} = \frac{\text{Number of brooms}}{\text{Number of mops}} = \frac{6}{4} \][/tex]

3. Simplify the ratio:
To simplify the ratio, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6 and 4 is 2.
[tex]\[ \frac{6 \div 2}{4 \div 2} = \frac{3}{2} \][/tex]

4. Verify against the given options:
We compare our simplified ratio with the options provided:
[tex]\[ A. \frac{5}{3} B. \frac{3}{2} C. \frac{2}{3} D. \frac{3}{5} \][/tex]
Our result [tex]\(\frac{3}{2}\)[/tex] matches Option B.

Thus, the ratio of the number of brooms to the number of mops is:

[tex]\[ \boxed{\frac{3}{2}} \][/tex]
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