Common Denominators

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 subtracted.

Front

What is the least common denominator (LCD)?

Back

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

Front

How do you find the least common denominator of 1/4 and 2/5?

Back

List the multiples of each denominator: 4 (4, 8, 12, 16, 20...) and 5 (5, 10, 15, 20...). The smallest common multiple is 20.

Front

What is the least common denominator of 3/4 and 5/7?

Back

The least common denominator is 28.

Front

What is the least common denominator of 1/10 and 7/8?

Back

The least common denominator is 40.

Front

What is the least common denominator of 2 and 8?

Back

The least common denominator is 8.

Front

Why do we need a common denominator to add fractions?

Back

We need a common denominator to ensure that the fractions are expressed in the same terms, allowing for accurate addition.

Front

Can you add fractions with different denominators directly?

Back

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

Front

What is an example of finding a common denominator for 1/3 and 1/4?

Back

The least common denominator is 12, as it is the smallest multiple of both 3 and 4.

Front

What is the process to find the least common denominator?

Back

1. List the multiples of each denominator. 2. Identify the smallest common multiple.