Adding Fractions (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 \(\frac{1}{3}\) and \(\frac{1}{4}\), the denominators 3 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 shared multiple of the denominators of two or more fractions. It allows you to add or subtract fractions.

Front

What is the first step in adding \(\frac{4}{5} + \frac{1}{2}\)?

Back

The first step is to find a common denominator.

Front

Calculate \(\frac{8}{10} + \frac{3}{5}\).

Back

Convert \(\frac{3}{5}\) to \(\frac{6}{10}\) to get \(\frac{8}{10} + \frac{6}{10} = \frac{14}{10} = 1 \frac{4}{10}\).

Front

Calculate \(\frac{2}{3} + \frac{2}{9}\).

Back

Convert \(\frac{2}{3}\) to \(\frac{6}{9}\) to get \(\frac{6}{9} + \frac{2}{9} = \frac{8}{9}\).

Front

What is the sum of \(\frac{1}{6}\) and \(\frac{2}{6}\)?

Back

The sum is \(\frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2}\).

Front

Calculate \(\frac{1}{9} + \frac{2}{27}\).

Back

Convert \(\frac{1}{9}\) to \(\frac{3}{27}\) to get \(\frac{3}{27} + \frac{2}{27} = \frac{5}{27}\).

Front

What is the least common multiple (LCM) of 3 and 4?

Back

The LCM of 3 and 4 is 12.