Fraction and Decimal Operations

What is the result of multiplying 3/4 by 2/5?

• 0.75

• 6/20

• 1/5

• 3/10

Answer explanation

To multiply fractions, multiply the numerators (3*2=6) and denominators (4*5=20) separately. The result is 6/20, which simplifies to 3/10.

Tags

CCSS.5.NF.B.4

CCSS.5.NF.B.6

Simplify the expression: 5/6 ÷ 2/3

• 5/4

• 7/8

• 1/3

• 3/5

Answer explanation

To divide fractions, multiply by the reciprocal of the second fraction. 5/6 ÷ 2/3 = 5/6 * 3/2 = 15/12 = 5/4. Therefore, the simplified expression is 5/4.

Tags

CCSS.5.NF.B.3

CCSS.5.NF.B.4

A recipe calls for 2/3 cup of sugar. If you want to make 4 batches, how much sugar do you need in total?

• 4 2/3 cup

• 3 1/2 cups

• 2 2/3 cups

• 1 1/3 cups

Answer explanation

To find the total amount of sugar needed for 4 batches, multiply 2/3 cup by 4, which equals 8/3 cups or 2 2/3 cups.

Tags

CCSS.5.NF.B.4

CCSS.5.NF.B.6

CCSS.5.NF.B.5

Convert 0.75 to a fraction in simplest form.

• 3/4

• 4/5

• 1/2

• 2/3

Answer explanation

To convert 0.75 to a fraction, we can write it as 75/100 and simplify by dividing both numerator and denominator by 25 to get 3/4, which is the simplest form.

Tags

CCSS.4.NF.A.1

CCSS.4.NF.C.6

CCSS.4.NF.C.5

Calculate 4.2 × 0.6

• 2.14

• 2.52

• 2.82

• 2.46

Answer explanation

To calculate 4.2 × 0.6, multiply the two numbers to get 2.52, which is the correct answer choice.

Tags

CCSS.5.NBT.B.7

Find the quotient of 6.3 ÷ 0.9

• 5

• 9

• 7

• 8

Answer explanation

To find the quotient of 6.3 ÷ 0.9, divide 6.3 by 0.9 which equals 7. Therefore, the correct answer is 7.

Tags

CCSS.5.NBT.B.7

If a pizza is divided into 8 equal slices and you eat 3/4 of it, how many slices did you eat?

• 4

• 5

• 7

• 6

Answer explanation

If you eat 3/4 of 8 slices, you eat 6 slices (3/4 * 8 = 6). Therefore, you ate 6 slices of the pizza.

Tags

CCSS.5.NF.B.3

CCSS.5.NF.B.4

CCSS.5.NF.B.6

Solve: 1/2 ÷ 1/4

• 1

• 2

• 3

• 0.5

Answer explanation

To divide fractions, multiply by the reciprocal. 1/2 ÷ 1/4 = 1/2 * 4/1 = 4/2 = 2. Therefore, the correct answer is 2.

Tags

CCSS.5.NF.B.3

CCSS.5.NF.B.7

A car travels 45.6 miles on 2.4 gallons of gas. How many miles per gallon does the car get?

• 30

• 19

• 12

• 25

Answer explanation

To find miles per gallon, divide miles traveled by gallons used: 45.6 miles / 2.4 gallons = 19 miles per gallon. Therefore, the correct answer is 19.

Tags

CCSS.5.NBT.B.7

CCSS.5.NF.B.3

Express 0.125 as a fraction in simplest form.

• 1/8

• 1/16

• 1/32

• 1/4

Answer explanation

To express 0.125 as a fraction, we write it as 125/1000 and simplify by dividing both numerator and denominator by 125 to get 1/8, which is the simplest form.

Tags

CCSS.4.NF.A.1

CCSS.4.NF.C.6