Question

ariana has 2/3 quart of milk. she uses 3/4 of it in a recipe. how much milk did ariana use in her recipe?

Answer 1

She has 2/3 quart and only used 3/4 of it.

If she had used twice as much, you'd multiply by 2, but instead, she used only 3/4 of it, so you'll only need to multiply her amount by 3/4, like so:

2/3*3/4 = (2*3)/(3*4) = 6/12 = 1/2

Answer is: 1/2 quart

Answer 2

To find a fraction of a fraction, what you have to do is multiply. You're looking for
`(3)/(4)` of
`(2)/(3)` so you're equation is going to be


`(3)/(4)` ×
`(2)/(3)` =

To multiply fractions, you multiply straight across (numerator x numerator, denominator x denominator):

`(3)/(4)` ×
`(2)/(3)` =
`(6)/(12)` quart or
`(1)/(2)` quart

This makes more sense when you draw a picture. First starting by drawing what you're taking a fraction of, which is
`(2)/(3)`. Then you split the entire whole into fourths to find what
`(3)/(4)` is. See the attached picture. :)