Adding Fractions with Unlike Denominators

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What is a fraction?

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What does it mean to simplify a fraction?

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To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

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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, and then add the numerators.

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What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

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What is the least common multiple (LCM)?

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The least common multiple (LCM) is the smallest multiple that two or more numbers share.

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How do you find the LCM of 4 and 6?

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The LCM of 4 and 6 is 12, as it is the smallest number that both 4 and 6 can divide into without a remainder.

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What is the difference between a proper fraction and an improper fraction?

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A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator larger than or equal to its denominator.