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 denominators that are not the same. For example, in the fractions 1/4 and 1/3, 4 and 3 are unlike denominators.

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is used to find a common denominator for adding or subtracting fractions.

Front

How do you find the least common denominator of 3 and 4?

Back

The least common denominator of 3 and 4 is 12, as it is the smallest multiple that both 3 and 4 can divide into evenly.

Front

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

Back

The first step in subtracting fractions with unlike denominators is to find a common denominator.

Front

If you have 1/2 and 1/3, what is the common denominator?

Back

The common denominator for 1/2 and 1/3 is 6.

Front

How do you convert 1/2 to a fraction with a denominator of 6?

Back

To convert 1/2 to a fraction with a denominator of 6, multiply both the numerator and denominator by 3, resulting in 3/6.

Front

What is the result of adding 1/4 and 1/6?

Back

The result of adding 1/4 and 1/6 is 5/12.

Front

How do you subtract 2/5 from 3/10?

Back

To subtract 2/5 from 3/10, first convert 2/5 to 4/10, then subtract: 3/10 - 4/10 = -1/10.