Adding Fractions with Unlike Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

Front

What does it mean to have unlike denominators in fractions?

Back

Unlike denominators are denominators that are not the same. For example, in the fractions 1/2 and 3/4, the denominators 2 and 4 are unlike.

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 a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions. It allows you to add or subtract the fractions.

Front

What is the first step in adding 1/2 and 3/8?

Back

The first step is to find a common denominator. The least common multiple of 2 and 8 is 8.

Front

Convert 1/2 to a fraction with a denominator of 8.

Back

To convert 1/2 to a fraction with a denominator of 8, multiply both the numerator and denominator by 4: 1/2 = 4/8.

Front

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

Back

The sum of 4/8 and 3/8 is 7/8.

Front

What is the formula for adding fractions?

Back

The formula for adding fractions is: \( \frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d} \) where a and c are the numerators and b and d are the denominators.

Front

How do you find the sum of 1/3 and 2/5?

Back

First, find a common denominator (15), convert the fractions (1/3 = 5/15 and 2/5 = 6/15), then add: 5/15 + 6/15 = 11/15.

Front

What is the sum of 1/12 and 5/8?

Back

First, find a common denominator (24), convert the fractions (1/12 = 2/24 and 5/8 = 15/24), then add: 2/24 + 15/24 = 17/24.