M6 6.CE.1 Review- Fraction Operations

Answer explanation

To calculate 5/6 times 3/4, multiply the numerators: 5 x 3 = 15, and the denominators: 6 x 4 = 24. This gives 15/24. Simplifying 15/24 by dividing both by 3 results in 5/8, the correct answer.

Tags

VA.6.CE.1.b

• The product is equal to 1

Answer explanation

Multiplying 3/5 by 1/2 gives 3/10, which is less than 3/5. Therefore, the correct choice is that the product is less than 3/5.

Tags

VA.6.CE.1.c

• 1

• 1.5

• 2

• 1.25

Answer explanation

To estimate the sum of 7/8 and 5/12, convert to a common denominator (24). This gives 21/24 + 10/24 = 31/24, which is approximately 1.29, close to 1.5.

Tags

VA.6.CE.1.d

Answer explanation

To solve 9/10 divided by 3/5, multiply by the reciprocal: 9/10 times 5/3 = 45/30 which simplifies to 3/2. Thus, the answer is 3/2.

Tags

VA.6.CE.1.e

• 6

Answer explanation

To find how many friends Aria can share with, divide her chocolate amount 3 by the amount each friend gets 1/2: 3 divided by 1/2 = 3/1 times 2/1 = 6/1 which simplifies to 6. Thus, she can share with 6 friends.

Tags

VA.6.CE.1.a

Answer explanation

To divide fractions, multiply by the reciprocal. Thus, 7/8 divided by 1/4 = 7/8 times 4/1 = 28/8 = 7/2. The correct answer is 7/2.

Tags

VA.6.CE.1.b

• The quotient is equal to 1

Answer explanation

Dividing 4/5 by a number greater than 1 results in a smaller value, as you are effectively reducing 4/5. Therefore, the quotient is less than 4/5.

Tags

VA.6.CE.1.c

Answer explanation

To solve 3/4 times 8/9, multiply the numerators: 3 × 8 = 24, and the denominators: 4 × 9 = 36. This gives 24/36. Simplifying by dividing both by 12 results in 2/3, the correct answer.

Tags

VA.6.CE.1.e

Which expression matches the model?

• 3/12 x 1/3

• 3/4 x 1/3

• 6/12 x 3/12

• 2/3 x 3/4

Answer explanation

3 out of 4 rows are blue and 1 out of 3 columns is red.

Tags

CCSS.5.NF.B.4A

What problem and quotient is modeled?

• 3 ÷ ¹/₄ = 12

• 2 ÷ ¹/₄ = 8

• 1 ÷ ¹/₄ = 4

Answer explanation

2 whole rectangles are split into 4ths. Groups of 1 are circled, and 8 groups were made.

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C