Adding fractions 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 in fractions?

Back

Unlike denominators occur when the denominators of two or more fractions are different, making it necessary to find a common denominator to perform operations like addition.

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions.

Front

What is the least common multiple (LCM)?

Back

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

Front

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.

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

Can you add fractions with unlike denominators directly?

Back

No, you cannot add fractions with unlike denominators directly; you must first convert them to have a common denominator.

Front

What is an example of finding a common denominator for 2/3 and 3/4?

Back

The common denominator for 2/3 and 3/4 is 12, as it is the least common multiple of 3 and 4.

Front

What is an example of finding a common denominator for 3/10 and 1/5?

Back

The common denominator for 3/10 and 1/5 is 10, as it is the least common multiple of 10 and 5.

Front

What happens if you try to add fractions with unlike denominators without finding a common denominator?

Back

If you try to add fractions with unlike denominators without finding a common denominator, the result will be incorrect.