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 does it mean to decompose a fraction?

Back

To decompose a fraction means to break it down into the 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 1/2?

Back

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

Front

What is the sum of 1/3 + 1/3 + 1/3?

Back

The sum is 1, or 3/3.

Front

If you have 3/4, how can you express it as a sum of fractions?

Back

3/4 can be expressed as 1/4 + 1/4 + 1/4.

Front

What is the result of decomposing 2/5?

Back

2/5 can be decomposed into 1/5 + 1/5.

Front

How can you decompose 4/6?

Back

4/6 can be decomposed into 2/6 + 2/6.

Front

What is the equivalent of 5/10 in terms of unit fractions?

Back

5/10 can be decomposed into 1/10 + 1/10 + 1/10 + 1/10 + 1/10.

Front

How do you find the remaining part of a whole if you know a fraction of it?

Back

Subtract the fraction eaten from 1 (the whole). For example, if 1/5 is eaten, the remaining is 1 - 1/5 = 4/5.