In a survey of teenagers, 3/4 responded that they got regular exercise, and 5/9 of those said that soccer was their main form of exercise. What fraction of the teenagers mainly exercise by playing soccer? (1 point)
Responses
8/13
5/12
1 7/20
27/20
To calculate the fraction of teenagers who mainly exercise by playing soccer, we need to multiply the fractions of teenagers who get regular exercise and play soccer as their main form of exercise.
Fraction of teenagers who get regular exercise = 3/4
Fraction of teenagers who play soccer as their main form of exercise = 5/9
Fraction of teenagers who mainly exercise by playing soccer = (3/4) * (5/9) = 15/36
Simplifying the fraction, we get:
15/36 = 5/12
Therefore, the fraction of teenagers who mainly exercise by playing soccer is 5/12.
To find the fraction of teenagers who mainly exercise by playing soccer, we can first find the fraction of teenagers who responded that they got regular exercise and then multiply it by the fraction of those who said soccer was their main form of exercise.
Fraction of teenagers who responded that they got regular exercise = 3/4
Fraction of those who said soccer was their main form of exercise = 5/9
To find the fraction of teenagers who mainly exercise by playing soccer, we can multiply these two fractions:
(3/4) * (5/9) = 15/36 = 5/12
Therefore, the fraction of teenagers who mainly exercise by playing soccer is 5/12.
To find the fraction of teenagers who mainly exercise by playing soccer, we need to multiply the fractions representing the proportions of teenagers who responded that they got regular exercise and those who said soccer was their main form of exercise.
First, let's find the fraction of teenagers who said soccer was their main form of exercise:
Fraction of teenagers who said soccer was their main form of exercise = 5/9
Next, let's find the fraction of teenagers who responded that they got regular exercise:
Fraction of teenagers who responded that they got regular exercise = 3/4
Now, we can multiply these fractions to find the fraction of teenagers who mainly exercise by playing soccer:
Fraction of teenagers who mainly exercise by playing soccer = (5/9) * (3/4)
To multiply these fractions, we multiply the numerators (5 * 3) and the denominators (9 * 4):
Fraction of teenagers who mainly exercise by playing soccer = (15/36)
Simplifying the fraction, 15/36 can be reduced to 5/12.
Therefore, the fraction of teenagers who mainly exercise by playing soccer is 5/12.