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Lowest common denominator facts for kids

Kids Encyclopedia Facts

The lowest common denominator (also least common denominator and LCD) is the least common multiple of the denominators (bottom parts) of a group of fractions. It makes it easier to add, subtract, and compare fractions.

The LCD of \frac{1}{2} and \frac{2}{3} is 6. This is because \frac{1}{2} and \frac{2}{3} equal \frac{3}{6} and \frac{4}{6}. 6 is the smallest number that can be at the bottom of both of those fractions.

The same thing also works with variables:

\frac{1}{2x} + \frac{3}{x^2} = \frac{1}{2x} {\color{Green}\cdot \frac{x}{x}} + \frac{3}{x^2} {\color{Green}\cdot \frac{2}{2}} = \frac{x}{2x^2} + \frac{6}{2x^2} = \frac{x+6}{2x^2}

See also

Kids robot.svg In Spanish: Mínimo común denominador para niños

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Lowest common denominator Facts for Kids. Kiddle Encyclopedia.