Megan spends 7 1/2 hours at school each day she spends 1/10 of that time in gym class

Question

how long is Megan's gym class?

Answer 1

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.

Answer 2

turn that into a fraction

Answer 3

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.