Adding Fractions with Unlike Denominators

Front

What is a common denominator?

Back

A common denominator is a number that can be used as a denominator for two or more fractions, allowing them to be added or compared.

Front

How do you find a common denominator for 1/5 and 5/6?

Back

To find a common denominator, list the multiples of each denominator (5 and 6). The smallest common multiple is 30.

Front

What is the first step in adding fractions with unlike denominators?

Back

The first step is to find a common denominator for the fractions.

Front

What is the sum of 1/18 and 5/6?

Back

The sum is 16/18.

Front

How do you add 5/9 and 1/6?

Back

Convert both fractions to have a common denominator (18), then add: 10/18 + 3/18 = 13/18.

Front

What is the sum of 1/4 and 3/8?

Back

The sum is 5/8.

Front

How do you convert 4/8 to a fraction with a denominator of 24?

Back

Multiply both the numerator and denominator by 3 to get 12/24.

Front

What is the sum of 4/8 and 1/3?

Back

The sum is 20/24.

Front

Why do we need a common denominator to add fractions?

Back

A common denominator allows us to express the fractions in the same terms, making it possible to combine them.

Front

What is the process of adding fractions with unlike denominators?

Back

1. Find a common denominator. 2. Convert each fraction. 3. Add the numerators. 4. Simplify if necessary.