Ariana has [tex]\frac{2}{3}[/tex] quart of milk. She uses [tex]\frac{3}{4}[/tex] of it in a recipe. How much milk did Ariana use in her recipe?
Answer (3)
To find a fraction of a fraction, what you have to do is multiply. You're looking for 4 3 of 3 2 so you're equation is going to be
4 3 × 3 2 =
To multiply fractions, you multiply straight across (numerator x numerator, denominator x denominator): 4 3 × 3 2 = 12 6 quart or 2 1 quart
This makes more sense when you draw a picture. First starting by drawing what you're taking a fraction of, which is 3 2 . Then you split the entire whole into fourths to find what 4 3 is. See the attached picture. :)
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
Ariana used 2 1 quart of milk in her recipe after using 4 3 of her 3 2 quart of milk. The calculation involved multiplying the two fractions and simplifying the result. Therefore, she used half a quart of milk.
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