Least Common Denominator

Front

What is a 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 of two fractions, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

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

Back

The least common denominator of 1/2 and 1/3 is 6.

Front

What is the least common denominator of 3/4 and 5/6?

Back

The least common denominator of 3/4 and 5/6 is 12.

Front

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

Back

Finding the least common denominator is important when adding or subtracting fractions because it allows you to combine the fractions into a single fraction with a common denominator.

Front

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

Back

The least common denominator of 2/5 and 3/10 is 10.

Front

How can prime factorization help in finding the least common denominator?

Back

Prime factorization can help in finding the least common denominator by breaking down each denominator into its prime factors and then taking the highest power of each prime factor to determine the LCD.

Front

What is the least common denominator of 4/9 and 2/3?

Back

The least common denominator of 4/9 and 2/3 is 9.

Front

What is the least common denominator of 5/8 and 1/4?

Back

The least common denominator of 5/8 and 1/4 is 8.

Front

How do you convert fractions to have a common denominator?

Back

To convert fractions to have a common denominator, multiply the numerator and denominator of each fraction by the necessary factor to reach the least common denominator.