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?
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.
To find the fraction of teenagers who mainly exercise by playing soccer, we need to multiply the fractions representing the proportions of teenagers who engage in regular exercise and those who exercise primarily through soccer.
First, let's work out the fraction of teenagers who exercise regularly. We are given that 3/4 of the surveyed teenagers stated they engage in regular exercise. This means that out of every 4 teenagers surveyed, 3 of them exercise regularly. So, the fraction representing regular exercise is 3/4.
Next, we need to find the fraction of teenagers who exercise mainly through soccer. The question tells us that 5/9 of the teenagers who exercise regularly do so through soccer. This means that out of every 9 teenagers who exercise regularly, 5 of them play soccer as their primary form of exercise. So, the fraction representing soccer as the main form of exercise is 5/9.
To calculate the fraction of teenagers who mainly exercise by playing soccer, we multiply the two fractions:
3/4 * 5/9 = (3 * 5) / (4 * 9) = 15/36
Therefore, the fraction of teenagers who mainly exercise by playing soccer is 15/36.
simplify it please
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.