Final answer:
To find the fraction of the audience that are girls, multiply 3/5 (the fraction of children in the audience) by 3/4 (the fraction of girls among the children), resulting in 9/20. This means that 9/20 of the people watching the film are girls.
Step-by-step explanation:
The question asks us to determine what fraction of the people watching the film are girls, given that 3/5 of the audience are children and 3/4 of those children are girls.
To find the fraction of the audience that are girls, we need to multiply the fraction of the audience that are children by the fraction of those children that are girls. The math involved is multiplying fractions, which is done by multiplying the numerators together and then the denominators together to find the product.
So, first we multiply the numerators: 3 (from 3/5) times 3 (from 3/4) equals 9. Then, we multiply the denominators: 5 (from 3/5) times 4 (from 3/4) equals 20. Now we have the fraction 9/20, which represents the part of the entire audience that are girls.
Thus, 9/20 of the people watching the film are girls. This fraction can be simplified if needed, but in this case, 9/20 is already in its simplest form.