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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

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 (fractions with a numerator of 1).

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, because 1/3 + 1/3 + 1/3 = 3/3 = 1.

Front

How can you decompose 2/5?

Back

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

Front

What is the result of 3/4 - 1/4?

Back

The result is 2/4, which simplifies to 1/2.

Front

How can you decompose 3/6?

Back

3/6 can be decomposed into 1/6 + 1/6 + 1/6.

Front

What is the sum of 1/8 + 1/8 + 1/8 + 1/8?

Back

The sum is 4/8, which simplifies to 1/2.

Front

How can you decompose 5/10?

Back

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