Common Denominator

Front

What is a common denominator?

Back

A common denominator is a number that can be used as a denominator for two or more fractions, allowing them to be added or compared.

Front

Why can't you add fractions with unlike denominators directly?

Back

You cannot add fractions with unlike denominators directly because they represent different parts of a whole. You need a common denominator to combine them.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest number that is a multiple of the denominators of two or more fractions.

Front

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

Back

To find a common denominator for 1/4 and 1/3, you can list the multiples of each denominator (4 and 3) and find the smallest common multiple, which is 12.

Front

What is the common denominator for 3/9 and 4/6?

Back

The common denominator for 3/9 and 4/6 is 18.

Front

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

Back

The first step in adding fractions with unlike denominators is to find a common denominator.

Front

Can 15 be a common denominator for 1/3, 2/5, and 3/10?

Back

No, 15 cannot be a common denominator for 1/3, 2/5, and 3/10.

Front

What is an example of adding fractions with a common denominator?

Back

For example, 1/4 + 1/4 = 2/4, since both fractions have the same denominator.

Front

What happens if you add 1/2 and 1/3 without a common denominator?

Back

If you add 1/2 and 1/3 without a common denominator, you will get an incorrect answer because the fractions represent different parts of a whole.

Front

What is the common denominator for 2/5 and 3/10?

Back

The common denominator for 2/5 and 3/10 is 10.