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 \(\frac{1}{4}\) and \(\frac{1}{3}\), 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 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.

Front

What is the first step in adding \(\frac{1}{6} + \frac{2}{3}\)?

Back

The first step is to find the least common denominator, which is 6 in this case.

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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, which is 24 in this case.

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Calculate \(\frac{1}{6} + \frac{2}{3}\) after finding the common denominator.

Back

Convert \(\frac{2}{3}\) to \(\frac{4}{6}\) and then add: \(\frac{1}{6} + \frac{4}{6} = \frac{5}{6}\).

Front

Calculate \(\frac{7}{8} - \frac{5}{6}\) after finding the common denominator.

Back

Convert both fractions to have a denominator of 24: \(\frac{21}{24} - \frac{20}{24} = \frac{1}{24}\).

Front

What is the result of \(\frac{7}{12} + \frac{1}{4}\)?

Back

Convert \(\frac{1}{4}\) to \(\frac{3}{12}\) and then add: \(\frac{7}{12} + \frac{3}{12} = \frac{10}{12}\).