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 2 3/4 to an improper fraction.

Back

2 3/4 = 11/4.

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 1/3 and 1/4.

Back

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

Back

1 1/2 + 2 2/3 = 4 1/6.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the sum of 3 4/5 and 4 3/5?

Back

3 4/5 + 4 3/5 = 8 2/5.

Tags

CCSS.4.NF.B.3D

CCSS.4.NF.B.3C

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.