Decomposing 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 1/10.

Front

How do you 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 the decomposition of 6/10?

Back

1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10.

Front

What is another way to decompose 6/10?

Back

2/10 + 4/10.

Front

What is the decomposition of 4/7?

Back

1/7 + 1/7 + 1/7 + 1/7, 3/7 + 1/7, or 2/7 + 2/7.

Front

What is the decomposition of 5/8?

Back

1/8 + 1/8 + 1/8 + 2/8.

Front

How can you express 3/4 as a sum of fractions?

Back

2/4 + 1/4.

Front

What is the sum of 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10?

Back

6/10.

Front

Can you decompose 3/4 into unit fractions?

Back

Yes, it can be decomposed into 1/4 + 1/4 + 1/4 + 1/4.

Front

What is the importance of decomposing fractions?

Back

Decomposing fractions helps in understanding their parts and makes it easier to perform operations like addition and subtraction.