Adding and Subtracting Fractions Unlike Denominators and Multiplying and Dividing Fractions

Fractions with different denominators are called (a)   fractions

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What is the first step in adding mixed numbers with unlike denominators?

• Find the least common multiple

• Add the whole numbers

• Find the greatest common divisor

• Convert to improper fractions

Answer explanation

The first step in adding mixed numbers with unlike denominators is to find the least common multiple to make the denominators the same before proceeding with the addition.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Which option represents the sum of 3 1/2 and 2 2/3?

• 5 7/6

• 6 1/6

• 5 1/6

• 6

Answer explanation

To find the sum of 3 1/2 and 2 2/3, convert both to improper fractions (7/2 + 8/3). Find a common denominator, which is 6, then add the fractions to get 29/6, which simplifies to 4 5/6 or 5 1/6.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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

• Subtract the denominators

• Find the least common multiple of the denominators

• Multiply the denominators

• Add the denominators

Answer explanation

To find a common denominator for 1/2 and 1/3, you need to find the least common multiple of the denominators.

• A
• B
• C
• D

Tags

CCSS.7.NS.A.1C

What is the sum of these fractions?

• 4/5

• 3/20

• 17/20

• 4/20

Tags

CCSS.7.NS.A.1C

What is the least common denominator of 1/4 and 1/6?

• 10

• 24

• 12

• 8

Answer explanation

The least common denominator of 1/4 and 1/6 is 12. To find the LCD, you need to find the least common multiple of the denominators, which is 12 in this case.

Which option represents the difference of 4 1/2 and 2 2/5?

• 2 1/10

• 2

• 2 1/5

• 2 1/2

Answer explanation

To find the difference, subtract 2 2/5 from 4 1/2. This equals 2 1/10, making the correct answer choice 2 1/10.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

What is the result of adding 1/4 and 3/8?

• 7/12

• 2/8

• 9/16

• 5/8

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Find the product of 2/3 and 4/5.

• 8/15

• 10/12

• 6/8

• 2/7

Tags

CCSS.5.NF.B.6