Adding Fractions and Mixed Numbers

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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). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

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What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/4 is a mixed number, where 2 is the whole number and 1/4 is the fraction.

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How do you add fractions with the same denominator?

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How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It allows you to add or subtract fractions.

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

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How do you convert an improper fraction to a mixed number?

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To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

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What is the sum of 10 1/4 and 2 1/4?

Back

The sum is 12 1/2.