Adding Fractions with Unlike Denominators

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What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 17/5 is an improper fraction.

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

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To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, 2 2/5 = (2*5 + 2)/5 = 12/5.

Front

What is a common denominator?

Back

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

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator for fractions.

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How do you find the LCM of 5 and 6?

Back

The LCM of 5 and 6 is 30, as it is the smallest number that both 5 and 6 can divide into without a remainder.

Front

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

Back

The first step is to find a common denominator for the fractions you want to add.

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How do you add fractions with unlike denominators?

Back

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 formula for adding fractions?

Back

The formula for adding fractions is: (a/b) + (c/d) = (a*d + b*c) / (b*d), where a/b and c/d are the fractions.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 is a mixed number.

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How do you convert an improper fraction back 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.