Adding Mixed Numbers with Unlike Denominators

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Front

How do you add mixed numbers with unlike denominators?

Back

1. Convert mixed numbers to improper fractions. 2. Find a common denominator. 3. Add the fractions. 4. Convert back to a mixed number if necessary.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 9/4.

Front

Convert the mixed number 3 1/2 to an improper fraction.

Back

7/2.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract them.

Front

Find the common denominator for 1/4 and 1/6.

Back

The common denominator is 12.

Front

What is the first step in adding mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

Add the mixed numbers 2 1/3 and 1 2/5. What is the first step?

Back

Convert to improper fractions: 2 1/3 = 7/3 and 1 2/5 = 7/5.

Front

What is the sum of 3 1/4 and 2 2/3?

Back

The sum is 6 11/12.

Front

How do you convert an improper fraction back to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.