kritiaryal196
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15. What fraction of an hour is 36 minutes?

A. [tex]\frac{3}{5}[/tex]
B. [tex]\frac{1}{2}[/tex]
C. [tex]\frac{5}{7}[/tex]
D. [tex]\frac{7}{9}[/tex]

Sagot :

GinnyAnswer
To determine what fraction of an hour 36 minutes represents, follow these steps:

1. Know the total minutes in an hour:
- An hour consists of 60 minutes.

2. Establish the fraction:
- To find what fraction of an hour 36 minutes is, you write the fraction as [tex]\( \frac{36}{60} \)[/tex].

3. Simplify the fraction:
- The greatest common divisor (GCD) of 36 and 60 is 12.
- To simplify [tex]\( \frac{36}{60} \)[/tex], divide both the numerator and the denominator by their GCD, 12:
[tex]\[ \frac{36 \div 12}{60 \div 12} = \frac{3}{5} \][/tex]

4. Conclusion:
- The simplified fraction that represents 36 minutes out of an hour is [tex]\( \frac{3}{5} \)[/tex].

Thus, the correct answer is (a) [tex]\(\frac{3}{5}\)[/tex].
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