Reciprocals, Mixed Numbers & Dividing Fractions

What is the reciprocal of 3/2?

• 2/3

• 1/2

• 3/2

• 2/1

Answer explanation

The reciprocal of 3/2 is 2/3 because the reciprocal of a fraction is obtained by interchanging the numerator and the denominator. Therefore, the correct choice is 2/3.

Tags

CCSS.5.NF.B.3

CCSS.5.NF.B.7

What is the reciprocal of 5?

• 10

• 1/5

• 5/1

Answer explanation

The reciprocal of 5 is 1/5 because the reciprocal of a number is obtained by flipping the numerator and denominator. In this case, the numerator is 1 and the denominator is 5, resulting in 1/5.

Tags

CCSS.5.NF.B.3

What is the reciprocal of 9?

• 9/1

• 1/8

• 1/10

• 1/9

Answer explanation

The reciprocal of 9 is 1/9 because the reciprocal of a number is obtained by flipping the numerator and denominator. In this case, the correct choice is 1/9.

Tags

CCSS.5.NF.B.3

CCSS.5.NF.B.7

What is the reciprocal of 1/4?

• 2/3

• 4/1

• 3/2

• 1/4

Answer explanation

The reciprocal of 1/4 is 4/1 because when you flip the fraction, the numerator becomes the denominator and vice versa. Therefore, the correct choice is 4/1.

Tags

CCSS.5.NF.B.3

CCSS.5.NF.B.7

What is the reciprocal of 2/5?

• 5/2

• 1/2

• 2/5

• 3/4

Answer explanation

The reciprocal of 2/5 is 5/2 because when you flip the fraction, the numerator becomes the denominator and vice versa. Therefore, the correct choice is 5/2.

Tags

CCSS.5.NF.B.3

Convert 3 1/2 to an improper fraction.

• 1/2

• 7/2

• 3/2

• 5/2

Answer explanation

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, 3 multiplied by 2 equals 6, and adding 1 gives us 7. The denominator remains the same, so the improper fraction is 7/2. Therefore, the correct answer is 7/2.

Tags

CCSS.5.NF.A.1

Convert 7/2 to a mixed number.

• 3 2/3

• 3 1/2

• 3 1/4

• 3 3/4

Answer explanation

To convert 7/2 to a mixed number, divide the numerator (7) by the denominator (2). The quotient is 3 with a remainder of 1. Therefore, the mixed number is 3 1/2, which matches the correct choice.

Tags

CCSS.5.NF.B.3

Convert 11/4 to a mixed number.

• 4/11

• 11/2

• 2 3/4

• 3/11

Answer explanation

To convert 11/4 to a mixed number, divide the numerator (11) by the denominator (4). The quotient is 2 with a remainder of 3. Therefore, the mixed number is 2 3/4, which is the correct choice.

Tags

CCSS.4.NF.B.3

Convert 4 1/2 to an improper fraction.

• 9/2

• 2/1

• 1/2

• 8/2

Answer explanation

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The result is the numerator of the improper fraction, with the denominator remaining the same. Therefore, 4 1/2 can be written as 9/2. The correct answer is 9/2.

Tags

CCSS.4.NF.A.1

Convert 2 3/4 to an improper fraction.

• 9/4

• 5/4

• 7/4

• 11/4

Answer explanation

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The result is the numerator of the improper fraction. The denominator remains the same. In this case, 2 multiplied by 4 is 8, and adding 3 gives 11. Therefore, 2 3/4 is equal to 11/4. The correct answer is 11/4.

Tags

CCSS.4.NF.B.3

CCSS.4.NF.B.4