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).

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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.

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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.

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How do you subtract fractions with unlike denominators?

Back

To subtract fractions with unlike denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, 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.

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What is the first step in adding \(\frac{2}{9} + \frac{1}{6}\)?

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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 \(\frac{9}{10} - \frac{1}{4}\)?

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The first step is to find the least common denominator (LCD) of 10 and 4, which is 20.

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Calculate \(\frac{3}{8} + \frac{1}{6}\) using the common denominator method.

Back

The common denominator is 24. Convert \(\frac{3}{8}\) to \(\frac{9}{24}\) and \(\frac{1}{6}\) to \(\frac{4}{24}\). Then, \(\frac{9}{24} + \frac{4}{24} = \frac{13}{24}\).

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Calculate \(\frac{8}{9} - \frac{1}{3}\) using the common denominator method.

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The common denominator is 9. Convert \(\frac{1}{3}\) to \(\frac{3}{9}\). Then, \(\frac{8}{9} - \frac{3}{9} = \frac{5}{9}\).

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What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different. For example, \(\frac{1}{2}\) is equivalent to \(\frac{2}{4}\).