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

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #146 : Arithmetic

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?

Possible Answers:

1 1/4 c

1 1/2 c

1 3/4 c

1/4 c

3/4 c

Correct answer:

1 1/4 c

Explanation:

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.

Example Question #2 : How To Find Out A Mixed Fraction From An Improper Fraction

What is  written as a mixed number?

Possible Answers:

Correct answer:

Explanation:

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

So  becomes

Example Question #2 : How To Find Out A Mixed Fraction From An Improper Fraction

If , what does  equal?

Possible Answers:

 

Correct answer:

 

Explanation:

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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