Adding and Subtracting Fraction with Unlike Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to have unlike denominators?

Back

Unlike denominators are denominators that are not the same. For example, in the fractions 1/4 and 1/3, 4 and 3 are unlike denominators.

Front

Can you add fractions with unlike denominators directly?

Back

No, you cannot add fractions with unlike denominators directly. You must first find a common denominator.

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, allowing them to be added or subtracted.

Front

How do you find a common denominator for 1/4 and 1/3?

Back

The least common multiple (LCM) of 4 and 3 is 12, so the common denominator is 12.

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.

Front

What is the sum of 1/4 and 1/3?

Back

To add 1/4 and 1/3, convert them to have a common denominator of 12: 1/4 = 3/12 and 1/3 = 4/12. Then, add: 3/12 + 4/12 = 7/12.

Front

What is the difference of 7/8 and 1/3?

Back

To find the difference, convert to a common denominator of 24: 7/8 = 21/24 and 1/3 = 8/24. Then, subtract: 21/24 - 8/24 = 13/24.

Front

How do you subtract fractions with unlike denominators?

Back

First, find a common denominator, convert the fractions, and then subtract the numerators.

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Back