Common Denominator

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

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, making it necessary to convert them to a common denominator first.

Front

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

Back

The first step is to find a common denominator.

Front

How do you find the least common denominator (LCD) 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

What is the least common denominator for 1/3 and 1/4?

Back

The least common denominator for 1/3 and 1/4 is 12.

Front

What is the common denominator for 1/2 and 3/4?

Back

The common denominator for 1/2 and 3/4 is 4.

Front

How do you rename a fraction with a different denominator?

Back

To rename a fraction with a different denominator, multiply both the numerator and the denominator by the same number to create an equivalent fraction.

Front

What fraction is equivalent to 3/4 with a denominator of 12?

Back

The fraction equivalent to 3/4 with a denominator of 12 is 9/12.

Front

What is the process for adding fractions with unlike denominators?

Back

The process involves finding a common denominator, renaming the fractions, and then adding the numerators.

Front

Can you subtract fractions with unlike denominators directly?

Back

No, you cannot subtract fractions with unlike denominators directly; you must first find a common denominator.