Quiz about 6.NS.1 Fraction Division

Question 1

The area of a rectangular parking lot is 8/45 square kilometers. The length of the lot is 4/9 kilometer. What is the width, in km, of the parking lot?

Accepted Answer

$$\frac{2}{5}$$ km

Answer

$$\frac{4}{45}$$ km

Answer

$$\frac{8}{9}$$ km

Answer

$$2\ \frac{1}{4}$$ km

Question 2

The length of a rectangular placemat is 2/3 foot. If the area of the placemat is 1/2 square foot, what is the width of the placemat?

Accepted Answer

$$\frac{3}{4}$$ foot

Answer

$$\frac{1}{3}$$ foot

Answer

$$\frac{1}{4}$$ foot

Answer

$$\frac{4}{3}$$ foot

Question 3

Which expression is modeled by the diagram?

Accepted Answer

$$4\ \frac{3}{4}\ \div\ \frac{1}{2}$$

Answer

$$4\ \div\ \frac{3}{4}$$

Answer

$$\frac{1}{2}\ \div\ 4\ \frac{3}{4}$$

Answer

$$\frac{3}{4}\ \div\ 4$$

Question 4

What is the value of $$\frac{8}{9}\ \div\ \frac{5}{12}$$

Accepted Answer

$$2\ \frac{2}{15}$$

Answer

$$\frac{5}{12}$$

Answer

$$\frac{8}{15}$$

Answer

$$\frac{10}{27}$$

Question 5

The length of a card is $$\frac{1}{3}$$ cm. If the area of the card is $$\frac{4}{15}$$ square cm, what is the width of the card?

Accepted Answer

$$\frac{4}{5}$$ cm

Answer

$$\frac{1}{5}$$ cm

Answer

$$\frac{2}{3}$$ cm

Answer

$$\frac{3}{4}$$ cm

Question 6

How many cups of pudding would 4 people get if they equally shared $$3\ \frac{1}{4}$$ cup of pudding?

Accepted Answer

$$\frac{13}{16}$$ cups

Answer

$$\frac{16}{13}$$ cups

Answer

13 cups

Answer

16 cups

Question 7

Which expression is modeled by the diagram?

Accepted Answer

$$5\ \div\ \frac{1}{3}$$

Answer

$$\frac{1}{3}\ \div\ 5$$

Answer

$$5\ imes\ \frac{1}{3}$$

Answer

$$\frac{1}{3}\ imes\ 5$$

Question 8

The carpet remnant was $$4\ \frac{1}{8}$$ square units. If the remnant was $$\frac{3}{4}$$ units wide, what was its length?

Accepted Answer

$$5\ \frac{1}{2}$$ units

Answer

$$3\ \frac{3}{8}$$ units

Answer

$$8\ \frac{1}{4}$$ units

Answer

$$11\ \frac{1}{2}$$ units

Question 9

There are 4 friends who want to share $$10\ \frac{2}{3}$$ gallons of tea. How many gallons will each friend get?

Accepted Answer

$$2\ \frac{2}{3}$$

Answer

$$2\ \frac{1}{2}$$

Answer

$$3\ \frac{1}{3}$$

Answer

$$3\ \frac{3}{4}$$

Question 10

How many $$\frac{1}{4}$$ cup servings are in $$7\ \frac{1}{2}$$ cups of espresso?

Accepted Answer

30

Answer

15

Answer

21

Answer

28

Question 11

The length of a photograph is $$1\ \frac{4}{5}$$ inches. If the area of the photo is $$\frac{33}{20}$$ square inches, what is the width of the photograph?

Accepted Answer

$$\frac{11}{12}$$ inch

Answer

$$\frac{22}{30}$$ inch

Answer

$$\frac{3}{4}$$ inch

Answer

$$\frac{4}{3}$$ inches

Question 12

How many fifths are in $$\frac{4}{10}$$ ?

Accepted Answer

2

Answer

$$\frac{1}{2}$$

Answer

1

Answer

$$1\ \frac{1}{2}$$

Question 13

There are $$10\ \frac{1}{2}$$ cookies. If Aaron and Bentley share them equally, how many cookies will each boy receive?

Accepted Answer

$$5\ \frac{1}{4}$$

Answer

$$4\ \frac{3}{4}$$

Answer

$$6\ \frac{1}{2}$$

Answer

$$8\ \frac{1}{2}$$

Question 14

How many $$\frac{1}{6}$$ liter servings are in $$4\ \frac{2}{3}$$ liters?

Accepted Answer

28

Answer

25

Answer

26

Answer

27

Question 15

The napkin was $$3\ \frac{1}{4}$$ inches wide and had an area of $$16\ \frac{1}{4}$$ square inches. What is the length of the napkin?

Accepted Answer

5 inches

Answer

4 inches

Answer

6 inches

Answer

7 inches

Question 16

Which expression is modeled by the diagram?

Accepted Answer

$$5\ \frac{2}{3}\ \div\ \frac{2}{3}$$

Answer

$$\frac{2}{3}\ \div\ 5\ \frac{2}{3}$$

Answer

$$5\ \div\ \frac{1}{3}$$

Answer

$$5\ \div\ \frac{2}{3}$$

Question 17

How many $$\frac{1}{12}$$ gallon servings are in 12 gallons?

Accepted Answer

144

Answer

1

Answer

24

Answer

288

Question 18

The floor was $$8\ \frac{3}{4}$$ yards wide and had an area of $$78\ \frac{3}{4}$$ square yards. What is the length of the floor?

Accepted Answer

9 yards

Answer

7 yards

Answer

8 yards

Answer

10 yards

Question 19

How many fourths are in $$7\ \frac{6}{8}$$ ?

Accepted Answer

31

Answer

13

Answer

56

Answer

62

Question 20

How many $$\frac{1}{3}$$ cup servings are in $$3\ \frac{1}{2}$$ cups of chai?

Accepted Answer

$$10\ \frac{1}{2}$$

Answer

$$9\ \frac{1}{2}$$

Answer

10

Answer

11

Question 21

The length of the computer case is $$12\ \frac{1}{2}$$ inches. If the area of the case is $$103\ \frac{1}{8}$$ square inches, what is the width of the computer case?

Accepted Answer

$$8\ \frac{1}{4}$$ inches

Answer

$$7\ \frac{3}{4}$$ inches

Answer

$$9\ \frac{1}{2}$$ inches

Answer

$$9\ \frac{3}{4}$$ inches

Question 22

A race is to be $$20\ \frac{4}{5}$$ kilometers long and each runner is to run $$\frac{1}{4}$$ of the race. How far will each runner run?

Accepted Answer

$$5\ \frac{1}{5}$$ km

Answer

$$5\ \frac{4}{5}$$ km

Answer

$$6\ \frac{2}{5}$$ km

Answer

$$7\ \frac{1}{5}$$ km

Question 23

The area of the dance classroom was 418 square meters. If the width is $$16\ \frac{1}{2}$$ meters, what is the length, in meters of the dance room?

Accepted Answer

$$25\ \frac{1}{3}$$ meters

Answer

$$2\ \frac{1}{6}$$ meters

Answer

$$8\ \frac{5}{6}$$ meters

Answer

$$26\ \frac{1}{8}$$ meters

Question 24

Which expression is modeled by the diagram below?

Accepted Answer

$$1\ \frac{1}{2}\ \div\ \frac{1}{6}$$

Answer

$$\frac{1}{6}\ \div\ 1\ \frac{1}{2}$$

Answer

$$1\ \frac{1}{6}\ \div\ \frac{1}{1}$$

Answer

$$1\ \div\ \frac{1}{6}$$

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