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 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 4/7?

Back

4/7 can be decomposed as 1/7 + 1/7 + 1/7 + 1/7, 2/7 + 2/7, or 3/7 + 1/7.

Front

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

Back

The sum is 4/4, which equals 1.

Front

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

Back

The sum is 4/3, which is an improper fraction.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, add the numerators and keep the denominator the same.

Front

What is 1/12 + 3/12 + 5/12?

Back

The sum is 9/12.

Front

How can you write 5/6 as the sum of unit fractions?

Back

5/6 can be written as 1/6 + 1/6 + 1/6 + 1/6 + 1/6.

Front

What is the first step in decomposing a fraction?

Back

The first step is to identify the total value of the fraction and how it can be split into smaller parts.