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Fraction review 4.NSF.1, 4.NSF.2, 4.NSF.3

Total questions: 42

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Explain why a fraction is equivalent to a fraction.

a)

A fraction is equivalent to another fraction if they are both whole numbers.

b)

A fraction is equivalent to another fraction if they can be reduced to the same lowest terms, meaning they represent the same value.

c)

A fraction is equivalent to another fraction if they have different numerators and denominators.

d)

A fraction is equivalent to another fraction if they have different values.

2.

Compare the fractions 3/4 and 6/8. Are they equivalent? If yes, explain why. If no, explain why not.

a)

The fractions 3/4 and 6/8 are equivalent because they have the same numerator and denominator.

b)

The fractions 3/4 and 6/8 are not equivalent because 6/8 is greater than 3/4.

c)

The fractions 3/4 and 6/8 are equivalent because when you simplify 6/8, you get 3/4. Both fractions represent the same proportion of a whole.

d)

The fractions 3/4 and 6/8 are not equivalent because 3/4 is an improper fraction while 6/8 is a proper fraction.

3.

Add the fractions 1/3 and 2/3. What is the sum?

a)

3/3, 1

b)

2/5

c)

5/3

d)

4/3

4.

Subtract the fractions 5/8 and 1/8. What is the difference?

a)

4/8

b)

6/8

c)

2/8

d)

3/8

5.

Compare the fractions 4/9 and 6/9 to the benchmark fraction 1/2. Which fraction is greater?

a)

4/9 is greater than 1/2

b)

5/9 is greater than 1/2

c)

4/9 is equal to 5/9

d)

1/2 is greater than 5/9

6.

Add the mixed numbers 2 1/4 and 3 1/4. What is the sum?

a)

4 1/2

b)

5 3/4

c)

6 1/2

d)

5 1/2

7.

Subtract the mixed numbers 4 2/5 and 2 3/5. What is the difference?

a)

1 4/5

b)

6 1/5

c)

5 2/5

d)

3 1/5

8.

Compare the fractions 7/10 and 3/10. Create a common denominator and compare them.

a)

7/10 is greater than 3/10

b)

3/10 is greater than 7/10

c)

7/10 is equal to 3/10

d)

7/10 is less than 3/10

9.

Explain the concept of equivalent fractions and how they can be used to compare and operate with fractions.

a)

Equivalent fractions cannot be used to compare or operate with fractions.

b)

Equivalent fractions have different values but the same numerators and denominators.

c)

Finding a common denominator is not necessary when working with equivalent fractions.

d)

Equivalent fractions have the same value but different numerators and denominators. They can be used to compare and operate with fractions by finding a common denominator and then performing the desired operation.

10.

What fraction of the shape is shaded?

a)

5/6

b)

5/8

c)

3/8

d)

8/3

11.

What fraction of the shape is NOT shaded

a)

1/4

b)

4/1

c)

3/4

d)

3

12.

The number at the top of a fraction is called_______________

a)

topinator

b)

numerator

c)

denominator

d)

denumerator

13.

These fractions are equivalent fractions. The fraction on the left is 3/5. Write the value of the fraction on the right. Type your answer in the space provided.

(a)  

14.

The shaded segments in this picture represents the fraction 6/8. Which fraction below is equivalent to 6/8?

a)

3/4

b)

8/6

c)

1/2

d)

2/8

15.

Is 515\frac{5}{15} in simplest form?

a)

Yes

b)

No

16.

Write 5 255\ \frac{2}{5} as an improper fraction.

a)

12\frac{1}{2}  

b)

55  

c)

275\frac{27}{5}  

d)

255\frac{25}{5}  

17.

Write 5 255\ \frac{2}{5} as an improper fraction.

a)

12\frac{1}{2}  

b)

55  

c)

275\frac{27}{5}  

d)

255\frac{25}{5}  

18.

Write 95\frac{9}{5} as a mixed number.

a)

1 451\ \frac{4}{5}

b)

1 491\ \frac{4}{9}

c)

5 145\ \frac{1}{4}

d)

4 154\ \frac{1}{5}

19.

Choose ALL of the fractions equivalent to 36\frac{3}{6}

a)
b)
c)
d)
20.

Name the fraction represented by the green dot on the number line. There are 2 correct answers.

a)

3

b)

32\frac{3}{2}

c)

1121\frac{1}{2}

d)

23\frac{2}{3}

21.

Change the improper fraction 27/5 to a mixed number.

a)

5 5/2

b)

5 7/2

c)

4 3/4

d)

5 2/5

22.

Find the greatest common factor (GCF) of 18 and 22.

a)

11

b)

6

c)

2

d)

3

23.

Find the greatest common factor (GCF) of 54 and 36.

a)

6

b)

2

c)

9

d)

12

24.

Write the fraction 6/9 in simplest form.

a)

8/9

b)

3/5

c)

2/9

d)

2/3

25.

Write the fraction 20/32 in simplest form.

a)

1/3

b)

5/8

c)

5/6

d)

1/2

26.
What is 1/8 + 5/8?
a)
1
b)
6/16 or 3/8
c)
6/8 or 3/4
d)
2/4 or 1/2
27.
What is 3/4 + 1/4?
a)
1 or 4/4
b)
3/4 
c)
10/16 or 5/8 
d)
1/4
28.

3/9 + 4/9 =

a)

7/18

b)

7/9

c)

12/9

d)

12/81

29.

Kayla has 3/9 of a pizza and Lille gave her 2/9 of a pizza. How much pizza does Kayla have now?

a)

5

b)

5/9

c)

1/9

d)

6/9

30.
9/11 - 2/11 =
a)
7/11
b)
11/11
c)
1
d)
7/10
31.
Brad ate 3/4 of his Kit-Kat bar and gave the rest to Zech.  How much of the Kit-Kat bar did Zech get to eat?
a)
3/4
b)
1/4
c)
2/4
d)
None
32.
Kyleigh made a giant cookie to eat for lunch. She ate 1/5 of it and felt sick.  She gave the rest of the giant cookie to Noelle.  How much of the cookie did Noelle have? 
a)
4/5
b)
1/5
c)
3/5
d)
5/5
33.

If you ran 3 1/4 laps in the gym and walked another 4 2/4 laps, how many laps did you go all together?

a)

8 1/4 laps

b)

7 1/2 laps

c)

7 3/4 laps

d)

none of the above

34.
Dylan had a whole cupcake in his lunch bag. He ate 1/4 of it. How much does he have left?
a)
1/4
b)
1/2
c)
1/3
d)
3/4
35.
What is the difference in the following equation in its lowest terms:
9/12 - 5/12 =
a)
14/12
b)
1/3
c)
5/12
d)
2/3
36.

What is the sum of the following equation in simplest for?:

2/6 + 2/6 =

a)

5/6

b)

2/3

c)

3/6

d)

1/2

37.

Anya is planting a garden with Sarah. Sarah wants to make the garden into 9 equal rows and plant corn in 3/9 or 1/3 of the garden. What fraction of the garden will be left for other vegetables?

a)

1

b)

6/9 or 2/3

c)

4/9

d)

5/9

38.
Kylee has 1 cup of chocolate chips. She adds 4/6 of the cup to her ice cream. How much of the cup of chocolate chips is left?
a)
3/6 or 1/2
b)
4/6 or 2/3
c)
2/6 or 1/3
d)
1/6
39.
Preston and Keegan are filling 8 cups with water for a science project. Preston fills 5 of the cups. What fraction is remaining for Keegan to fill?
a)
1/2
b)
5/8
c)
3/8
d)
1/4
40.

Connor ate 6/8 of one pizza. Kirsti ate 2/8 of another pizza. How much more of a pizza did Connor eat?

a)

3/8

b)

6/8 or 3/4

c)

4/8 or 1/2

d)

2/8 or 1/4

41.
What is 3 1/4 + 2 2/4?
a)
6
b)
5 3/4
c)
5 1/4
d)
1 2/4
42.
What is 4 1/4 - 2 3/4?
a)
2 2/4 or 2 1/2
b)
6/4 or 1 2/4 or 1 1/2
c)
7
d)
1 1/4

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