Adding Rational Numbers

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Definition of Rational Numbers

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Numbers expressed as \(\frac{a}{b}\), where \(a\) and \(b\) are integers, \(b \neq 0\).

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Example of a Rational Number

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\(\frac{3}{4}\)

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Example of a Rational Number

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-2

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Adding Positive Rational Numbers

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\(\frac{1}{3} + \frac{2}{3} = 1\)

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Adding Positive Rational Numbers

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\(\frac{5}{6} + \frac{1}{6} = 1\)

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Adding Negative Rational Numbers

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-\(\frac{1}{2}\) + -\(\frac{1}{2}\) = -1

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Adding Negative Rational Numbers

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-\frac{3}{4} + -\frac{1}{4} = -1

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Word Problem: Rational Addition

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If you have \(\frac{1}{2}\) of a pizza and get another \(\frac{1}{4}\), you will have \(\frac{3}{4}\).

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Word Problem: Rational Addition

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3 apples plus 2 apples equals 5 apples.

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Commutative Property of Addition

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a + b = b + a