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?

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

\(\frac{3}{4}\) × \(\frac{2}{3}\) =

To multiply fractions, you multiply straight across (numerator x numerator, denominator x denominator):
\(\frac{3}{4}\) × \(\frac{2}{3}\) = \(\frac{6}{12}\) quart or \(\frac{1}{2}\) quart

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

Anonymous Anonymous · Answer 2 · 2014-07-29T13:30:09-04:00

Anonymous Anonymous

29-07-2014

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:

2/33/4 = (23)/(3*4) = 6/12 = 1/2

Answer is: 1/2 quart

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