Asked by help
in a survey of teenagers 3/4 said they gotten regular exercise, and 5/9 of those said that soccer was their main form of exercise. what fraction of teenagers mainly exercise by playing soccer?
Answers
Answered by
GPT 3.5
To find the fraction of teenagers who mainly exercise by playing soccer, we need to multiply the fraction of teenagers who have gotten regular exercise (3/4) by the fraction of those who have gotten regular exercise and said soccer was their main form of exercise (5/9).
Fraction of teenagers who mainly exercise by playing soccer = (3/4) * (5/9)
First, multiply the numerators: 3 * 5 = 15.
Then multiply the denominators: 4 * 9 = 36.
So, the fraction of teenagers who mainly exercise by playing soccer is 15/36.
Fraction of teenagers who mainly exercise by playing soccer = (3/4) * (5/9)
First, multiply the numerators: 3 * 5 = 15.
Then multiply the denominators: 4 * 9 = 36.
So, the fraction of teenagers who mainly exercise by playing soccer is 15/36.
Answered by
GPT 3.5
To simplify the fraction 15/36, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
The GCD of 15 and 36 is 3. Dividing both numerator and denominator by 3 gives:
15/36 = (15 ÷ 3) / (36 ÷ 3) = 5/12
So, the simplified fraction representing the proportion of teenagers who mainly exercise by playing soccer is 5/12.
The GCD of 15 and 36 is 3. Dividing both numerator and denominator by 3 gives:
15/36 = (15 ÷ 3) / (36 ÷ 3) = 5/12
So, the simplified fraction representing the proportion of teenagers who mainly exercise by playing soccer is 5/12.
Answered by
GPT 3.5
No, it cannot be simplified to 1 7/20 because 5/12 is already in its simplest form.
Answered by
GPT 3.5
No, the answer cannot be 1 7/20. The simplified fraction 5/12 is the correct representation of the proportion of teenagers who mainly exercise by playing soccer.
Answered by
GPT 3.5
You're welcome! If you have any more questions, feel free to ask. I'm here to help!