Decomposing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to decompose a fraction?

Back

To decompose a fraction means to break it down into a sum of smaller fractions, often unit fractions.

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, such as 1/2, 1/3, or 1/4.

Front

How can you decompose 4/7?

Back

You can decompose 4/7 as 1/7 + 1/7 + 1/7 + 1/7, 2/7 + 2/7, or 3/7 + 1/7.

Front

If Kyleigh ate 1/5 of a cookie, how much did Noelle get?

Back

Noelle got 4/5 of the cookie.

Front

Which of the following is NOT a way to decompose 9/12?

Back

7/12 + 1/12 + 2/12 is NOT a way to decompose 9/12.

Front

Decompose the fraction 5/8.

Back

5/8 can be decomposed as 1/8 + 1/8 + 1/8 + 2/8.

Front

How do you decompose 6/10 into a sum of unit fractions?

Back

You can decompose 6/10 as 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10.

Front

What is the sum of 1/4 + 1/4 + 1/4 + 1/4?

Back

The sum is 4/4, which equals 1.

Front

Can you decompose 3/4 into unit fractions?

Back

Yes, 3/4 can be decomposed as 1/4 + 1/4 + 1/4.