Sugar cookie recipe and multiplying fractions

by Alison Bazel


A sugar cookie recipe calls for 4 1/2 cups of sugar. Alison wants to make 2/3 of the normal amount of sugar. How much sugar will Alison use in her recipe?


To find the amount of sugar Alison will need, you need to multiply.

But first, you convert 4 1/2 cups of sugar to 9/2. You get 9/2 by multiplying the denominator, 2, by the whole number, 4 (which equals 8).

Next you will add the 8 to the numerator, 1. That will give you 9. Lastly, you keep the denominator of the fraction from the mixed number, which is 2. That gives you 9/2.

Now you will multiply 9/2 by 2/3. You can do 9 × 2 and 2 × 3, but you can do it with simpler numbers so the multiplication is easier for you.

You can do something called cross simplifying.

First, to cross simplify, you will see if the opposite fractions' numerator and denominator go into each other.

For example, the denominator of 2/3, 3, goes into 9 three times. So you can cross out nine and replace it to three. But then you have to do the same with the opposite denominator.

3 goes into 3 once, so you would cross off the three and replace it with one. You can do the same with the other numerator and denominator as well.

Both the numerator and denominator would be simplified to one. Now, all you have to do is multiply 3 × 1 and 1 × 1.

Your answer should be 3.

So, Alison will use three cups of sugar instead of 4 1/2.

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Basic math word problem.

Recent Articles

  1. How To Find The Factors Of 20: A Simple Way

    Sep 17, 23 09:46 AM

    Positive factors of 20
    There are many ways to find the factors of 20. A simple way is to...

    Read More

  2. The SAT Math Test: How To Be Prepared To Face It And Survive

    Jun 09, 23 12:04 PM

    SAT math
    The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes


Math vocabulary quizzes