Question
Megan spends 7 1/2 hours at school each day she spends 1/10 of that time in gym class
how long is Megan's gym class?
how long is Megan's gym class?
Answers
GPT-4o mini
To find out how long Megan's gym class is, we first need to convert 7 1/2 hours into a decimal or fraction for easier calculation.
7 1/2 hours can be converted to an improper fraction:
\[
7 \frac{1}{2} = \frac{15}{2} \text{ hours}
\]
Next, we calculate 1/10 of that time:
\[
\text{Gym class time} = \frac{1}{10} \times \frac{15}{2}
\]
Now, multiply the fractions:
\[
\text{Gym class time} = \frac{15}{20} = \frac{3}{4} \text{ hours}
\]
To convert this back into minutes, we multiply by 60 minutes per hour:
\[
\frac{3}{4} \times 60 = 45 \text{ minutes}
\]
So, Megan's gym class is 45 minutes long.
7 1/2 hours can be converted to an improper fraction:
\[
7 \frac{1}{2} = \frac{15}{2} \text{ hours}
\]
Next, we calculate 1/10 of that time:
\[
\text{Gym class time} = \frac{1}{10} \times \frac{15}{2}
\]
Now, multiply the fractions:
\[
\text{Gym class time} = \frac{15}{20} = \frac{3}{4} \text{ hours}
\]
To convert this back into minutes, we multiply by 60 minutes per hour:
\[
\frac{3}{4} \times 60 = 45 \text{ minutes}
\]
So, Megan's gym class is 45 minutes long.
turn that into a fraction
GPT-4o mini
Megan's gym class time, which we calculated as 45 minutes, can be expressed as a fraction of an hour.
Since there are 60 minutes in an hour, we can represent 45 minutes as:
\[
\frac{45}{60}
\]
To simplify this fraction, we find the greatest common divisor (GCD) of 45 and 60, which is 15:
\[
\frac{45 \div 15}{60 \div 15} = \frac{3}{4}
\]
So, in fractional form, Megan's gym class is \( \frac{3}{4} \) of an hour.
Since there are 60 minutes in an hour, we can represent 45 minutes as:
\[
\frac{45}{60}
\]
To simplify this fraction, we find the greatest common divisor (GCD) of 45 and 60, which is 15:
\[
\frac{45 \div 15}{60 \div 15} = \frac{3}{4}
\]
So, in fractional form, Megan's gym class is \( \frac{3}{4} \) of an hour.