Add and subtract 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 \(\frac{1}{2}\) and \(\frac{1}{3}\), the denominators 2 and 3 are unlike.

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

How do you subtract fractions with unlike denominators?

Back

To subtract fractions with unlike denominators, find a common denominator, convert the fractions, and then subtract 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

What is the first step in adding \(\frac{7}{9} + \frac{1}{6}\)?

Back

The first step is to find the least common denominator (LCD) of 9 and 6, which is 18.

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What is the first step in subtracting \(\frac{7}{8} - \frac{5}{6}\)?

Back

The first step is to find the least common denominator (LCD) of 8 and 6, which is 24.

Front

Calculate the sum of \(\frac{1}{6} + \frac{2}{3}\).

Back

Convert \(\frac{2}{3}\) to \(\frac{4}{6}\) to get \(\frac{1}{6} + \frac{4}{6} = \frac{5}{6}\).

Front

Calculate the difference of \(\frac{9}{10} - \frac{1}{5}\).

Back

Convert \(\frac{1}{5}\) to \(\frac{2}{10}\) to get \(\frac{9}{10} - \frac{2}{10} = \frac{7}{10}\).

Front

What is the result of \(\frac{6}{7} - \frac{2}{5}\)?

Back

Find the LCD of 7 and 5, which is 35. Convert the fractions to \(\frac{30}{35} - \frac{14}{35} = \frac{16}{35}\).