All About Fractions

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 convert an improper fraction to a mixed number?

• Divide the numerator by the denominator

• Multiply the whole number part by the denominator and add the numerator

• Subtract the denominator from the numerator

• None of the above

Answer explanation

To convert an improper fraction to a mixed number, you divide the numerator by the denominator.

Tags

CCSS.5.NF.B.3

What is 7/4 as a mixed number?

• 1 3/4

• 1 2/3

• 2 1/4

• 1 1/2

Answer explanation

To convert 7/4 to a mixed number, divide 7 by 4 to get 1 with a remainder of 3. Therefore, 7/4 as a mixed number is 1 3/4.

Tags

CCSS.4.NF.B.3

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.

Tags

CCSS.4.NF.A.2

What is the mixed number of 11/3?

• 4

• 3 1/3

• 2 2/3

• 3 2/3

Answer explanation

The mixed number of 11/3 is 3 2/3. To get this, divide 11 by 3 to get 3 whole numbers with a remainder of 2, which is then expressed as 2/3.

Tags

CCSS.4.NF.B.3

Which of the following is an equivalent fraction of 2/4?

• All of the above

• 1/2

• 3/6

• 4/8

Answer explanation

All of the above are equivalent fractions of 2/4 because 1/2, 3/6, and 4/8 can all be simplified to 1/2 by dividing the numerator and denominator by their greatest common factor.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

What is the result of subtracting 2 1/4 from 5 1/2?

• 3 1/4

• 2 3/4

• 3

• 3 1/2

Answer explanation

Subtract 2 1/4 from 5 1/2 by converting both to improper fractions, then subtracting. 11/2 - 9/4 = 22/4 - 9/4 = 13/4 = 3 1/4.

Tags

CCSS.7.NS.A.1C

To convert 3 5/6 to an improper fraction, you would?

• Multiply 6 by 3 and add 5

• Multiply 5 by 3 and add 6

• Multiply 6 by 5 and add 3

• None of the above

Answer explanation

To convert 3 5/6 to an improper fraction, you would multiply 6 by 3 and add 5, resulting in 23/6.

Tags

CCSS.4.NF.B.4

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.

Tags

CCSS.4.NF.A.2