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Operations on fractions

Total questions: 20

Worksheet time: 33mins

Name
Class
Date
1.
Grandma is baking cookies for her grandson. The recipe calls for ⅔ cup of chocolate chips and she wants to make 3 batches. Which of the following statements is true?
a)
She will use ⅔ cup of chocolate chips.
b)
She will use more than ⅔ cup of chocolate chips.
c)
She will use less than ⅔ cup of chocolate chips.
2.

 45×3\frac{4}{5}\times3  will be _____________4/5

a)

equal to

b)

less than

c)

greater than

3.

Keira made trail mix using nuts and dried fruits. The recipe calls for 5/8 of a pound of nuts and 1/4 of a pound of dried fruits. Using fraction sense, how much trail mix did Keira make?

a)

more than 1/4 of a pound but less than 5/8 of a pound

b)

more than 1 pound

c)

less than 5/8 of a pound

d)

more than 1/2 pound but less than 1 pound

4.

Danica says that if she multiplies 3/4 × 2, her product will automatically be greater than 3/4 because 2 is greater than 1, making the product larger. Is Danica correct?

a)

Yes

b)

No

5.
7 x 1⅖ will be __________________ 7.
a)
greater than
b)
less than 
c)
equal to
6.

Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances: "Parking Lot - 3/4 mile and Summit - 1 1/2 miles." Each person makes a statement. Select all statements that are true.

a)

Mai says "We are one third of the way there."

b)

Clare says "We have to go twice as far as we have already gone."

c)

Tyler says "The total hike is three times as long as we have already gone"

7.

Which statement correctly describes the effect of multiplying 5 by the fractions below.

a)

152\frac{15}{2}

Multiplying by this fraction will decrease the number.

b)

215\frac{2}{15} Multiplying by this fraction will decrease the number.

c)

1515\frac{15}{15} Multiplying by this fraction will increase the number.

d)

89\frac{8}{9} Multiplying by this fraction will increase this number.

8.

How do you feel about dividing fractions?

a)

Like a Superstar! Understand them 100%

b)

They're easy!

Understand them 100%

c)

I'm getting better!

Understand 75% or more

d)

I'm totally lost!

Less than 50% understanding!

9.

Liana says that if she multiplies 5/6 x 3/2, her product will automatically be greater than 5/6 because 3/2 is greater than 1, making the product larger. Is Liana correct?

a)

Yes

b)

No

10.

Before solving the problem below, Sarah predicted the product would have a value less than 5. Is Sarah's prediction correct?

5×1855\times\frac{18}{5}

a)

Yes, because she is multiplying 5 by a value less than one.

b)

Yes, because she is multiplying 5 by a value greater than one.

c)

No, because she is multiplying 5 by a value less than one.

d)

No, because she is multiplying 5 by a value greater than one.

11.
The product of 7/8 x 60 will be 
a)
greater than 60
b)
less than 60
c)
equal to 60
12.

Which fraction when multiplied by 4 would result in a product greater than 4?

a)

38\frac{3}{8}  

b)

1012\frac{10}{12}  

c)

98\frac{9}{8}  

d)

23\frac{2}{3}  

13.

What will happen to the value of 2/3 once multiplied by 6/2?

a)

Increase

b)

Decrease

c)

Equal

14.

Stuart rode his bicycle 6 3/5 miles last week. This week he rode 1 1/3 times as far. This week did he ride more than, less than, or equal to the amount he rode last week?

a)

more than

b)

equal to

c)

less than

15.

Will the product of the following multiplication problem get larger than 8, smaller than 8 or equal 8?

81\frac{8}{1} x 98\frac{9}{8}

a)

product will get smaller than 8

b)

product will get larger than 8

c)

product will stay the 8

16.

Derek is hanging streamers for the party. Each streamer is 2252\frac{2}{5}   meters long.

If he hangs 3 streamers end to end, what is the total length of the streamers?

a)

1251\frac{2}{5}  meters 

b)

1215\frac{12}{15}  meters 

c)

5255\frac{2}{5}  meters 

d)

7157\frac{1}{5} meters 

17.
Grandma is baking cookies for her grandson. The recipe calls for ⅔ cup of chocolate chips and she wants to make 3 batches. Which of the following statements is true?
a)
She will use ⅔ cup of chocolate chips.
b)
She will use more than ⅔ cup of chocolate chips.
c)
She will use less than ⅔ cup of chocolate chips.
18.

After changing the denominator, what do you need to do to the numerator?

a)

Nothing

b)

Multiply the numerator by the same number as the denominator

c)

Double it

19.

4.4×624.4\times\frac{6}{2} The product of the expression will be

a)

Greater than 4.4

b)

Less than 4.4

20.

What conclusion can you make about dividing by a proper fraction?

a)

Dividing by a proper decreases the answer

b)

Dividing by a proper does nothing to the answer

c)

Dividing by a proper increases the answer