Decomposing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

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 1/8.

Front

How do you decompose a fraction?

Back

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

Front

What is the decomposition of 1/2?

Back

1/2 can be decomposed into 1/4 + 1/4.

Front

What is the decomposition of 3/4?

Back

3/4 can be decomposed into 1/4 + 1/4 + 1/4.

Front

What is the decomposition of 5/6?

Back

5/6 can be decomposed into 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

Front

What is the decomposition of 2/3?

Back

2/3 can be decomposed into 1/3 + 1/3.

Front

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

Back

The sum is 1.

Front

What is the sum of 1/5 + 1/5 + 1/5 + 1/5 + 1/5?

Back

The sum is 1.

Front

Which of the following is NOT a way to decompose 9/12? 4/12 + 4/12 + 1/12, 8/12 + 1/12, 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/12, 7/12 + 1/12 + 2/12?

Back

7/12 + 1/12 + 2/12.