5/3 Adding 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 add fractions with unlike denominators?

Back

Adding fractions with unlike denominators means you need to find a common denominator before you can combine the fractions.

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 two denominators.

Front

What is the least common multiple (LCM) of 2 and 5?

Back

The LCM of 2 and 5 is 10.

Front

What is the first step in adding 1/2 + 2/5?

Back

The first step is to find a common denominator, which is 10.

Front

Convert 1/2 to a fraction with a denominator of 10.

Back

1/2 = 5/10.

Front

Convert 2/5 to a fraction with a denominator of 10.

Back

2/5 = 4/10.

Front

What is the sum of 5/10 + 4/10?

Back

5/10 + 4/10 = 9/10.

Front

What is the process of adding fractions?

Back

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

Front

What is an example of adding fractions with unlike denominators?

Back

Example: 1/4 + 1/3. Common denominator is 12. Convert: 1/4 = 3/12 and 1/3 = 4/12. Sum: 3/12 + 4/12 = 7/12.