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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?

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Cpena5id
To find a fraction of a fraction, what you have to do is multiply. You're looking for [tex] \frac{3}{4} [/tex] of [tex] \frac{2}{3} [/tex] so you're equation is going to be 

[tex] \frac{3}{4} [/tex] × [tex] \frac{2}{3} [/tex]  = 

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

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

View image Cpena5
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

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