How to find out a mixed fraction from an improper fraction - PSAT Math

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Question

To make 48 cookies you need 1 cup white sugar, 1 cup packed brown sugar and 3 cups of flour. You want to make 12 cookies, so you adjust the ingredients accordingly. After the adjustment, how many total cups of dry ingredients do you have?

Answer

Going from 48 cookies to 12 cookies is a scaling factor of 1/4, so all the ingredients get multiplied by 1/4. In order to make 12 cookies you will need 1/4 c white sugar, 1/4 c packed brown sugar, and 3/4 c flour. Added all together you get 5/4 or 1 1/4 c.

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Question

What is written as a mixed number?

Answer

How many times does 12 go into 17? Once with a remainder of 5.

So becomes

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Question

If , what does equal?

Answer

First, you must solve the equation for . Then, you must convert the answer's improper fraction to a mixed fraction.

Solve for .

Now, to convert an improper fraction, you must see how many times the denominator goes into the numerator, and then leave the remainder as a fraction. Example below:

Find out how many times the denominator goes into the numerator:

Therefore,

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