Adding Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What does it mean to add fractions?

Back

Adding fractions means combining two or more fractions to find a total. This can only be done directly if the fractions have the same denominator.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

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 together.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you find a common denominator for 1/3 and 2/5?

Back

The least common multiple of 3 and 5 is 15. So, the common denominator is 15.

Front

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

Back

The first step is to find a common denominator for the fractions.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you convert 1/3 to a fraction with a denominator of 15?

Back

Multiply the numerator and denominator by 5: 1/3 = 5/15.

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

How do you convert 2/5 to a fraction with a denominator of 15?

Back

Multiply the numerator and denominator by 3: 2/5 = 6/15.

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the sum of 5/15 and 6/15?

Back

5/15 + 6/15 = 11/15.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

Can you add fractions with unlike denominators directly?

Back

No, you cannot add fractions with unlike denominators directly; you must first convert them to have a common denominator.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the sum of 3/8 and 1/4?

Back

Convert 1/4 to 2/8, then add: 3/8 + 2/8 = 5/8.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D