Adding and Subtracting Fractions with Unlike Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to have unlike denominators?

Back

Unlike denominators are when the bottom numbers of two or more fractions are different, making it necessary to find a common denominator to add or subtract them.

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators.

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest number that is a multiple of two or more numbers.

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

How do you convert fractions to have a common denominator?

Back

Multiply the numerator and denominator of each fraction by the same number so that both fractions have the common denominator.

Front

What is the process for adding fractions?

Back

1. Find a common denominator. 2. Convert the fractions. 3. Add the numerators. 4. Keep the common denominator.

Front

What is the process for subtracting fractions?

Back

1. Find a common denominator. 2. Convert the fractions. 3. Subtract the numerators. 4. Keep the common denominator.

Front

What is 5/10 + 2/15?

Back

5/10 + 2/15 = 1/2 + 2/15 = 15/30 + 4/30 = 19/30.

Front

What is 4/9 - 1/12?

Back

4/9 - 1/12 = 16/36 - 3/36 = 13/36.