Add and Subtract Fractions with Unlike Denominators

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What is a fraction?

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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?

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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.

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How do you add fractions with unlike denominators?

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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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What is the least common denominator (LCD)?

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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 a proper fraction?

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A proper fraction is a fraction where the numerator is less than the denominator, such as \(\frac{3}{4}\).

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What is an improper fraction?

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An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \(\frac{5}{4}\).

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What is the first step in adding fractions with unlike denominators?

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The first step is to find the least common denominator (LCD) of the fractions.