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.

Tags

CCSS.3.NF.A.3C

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.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.

Tags

CCSS.3.NF.A.3C

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.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.

Tags

CCSS.7.NS.A.1C

Front

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

Back

The sum is 6 11/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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.