Least 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 compared or added together.

Front

What is the least common denominator (LCD)?

Back

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

Front

How do you find the least common denominator of two fractions?

Back

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

Which of the following numbers could NOT be a common denominator for 1/6 and 1/4? 6, 12, 18, 24?

Back

18 could NOT be a common denominator for 1/6 and 1/4.

Front

What is the least common denominator of 2/4 and 3/8?

Back

The least common denominator of 2/4 and 3/8 is 8.

Front

What is the least common denominator of 1/9 and 2/3?

Back

The least common denominator of 1/9 and 2/3 is 9.

Front

What is the least common denominator of 1/5 and 5/9?

Back

The least common denominator of 1/5 and 5/9 is 45.

Front

Why is it important to find a common denominator when adding or subtracting fractions?

Back

Finding a common denominator is important because it allows fractions to be expressed with the same denominator, making it possible to add or subtract them accurately.

Front

What is the relationship between the least common multiple (LCM) and the least common denominator (LCD)?

Back

The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators.

Front

Can a fraction have more than one least common denominator?

Back

No, a fraction can only have one least common denominator, which is the smallest common multiple of its denominator with others.