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Mr. Johnson's 6th Grade Fractions

Total questions: 82

Worksheet time: 7hrs 49mins

Name
Class
Date
1.

a)

14/16

b)

7/8

c)

8/7

d)

4/10

2.
What number could be a common denominator for these two fractions?
1/5   and   5/6?
a)
30
b)
11
c)
6
d)
5
3.
What is the reciprocal of 2/3?
a)
2/3
b)
1/4
c)
3/2
d)
4/6
4.
What is the reciprocal of 6?
a)
6
b)
12/6
c)
1/6
d)
.6
5.
What is the reciprocal of       1    2/3?
a)
5/3
b)
1  4/6
c)
6/8
d)
3/5
6.
Simplify.
14/35
a)
SF
b)
2/5
c)
7/8
d)
1/4
7.
49/63
a)
SF
b)
7/9
c)
7/8
d)
1/2
8.
20/3= what as a mixed number?
a)
5  5/3
b)
6  2/3
c)
7  1/3
d)
6  3/3
9.
21/5= what as a mixed number?
a)
5  1/5
b)
4  2/5
c)
4  1/5
d)
5  4/5
10.
Solve.
2/5x = 4
a)
1/10
b)
-10
c)
10
d)
-1/10
11.
c + 11/20 = 3/4
a)
4/20
b)
2/5
c)
1/5
d)
4/21
12.
x - 5/6  = 10
a)
x = 10 5/6
b)
x = 9 1/6
c)
x = 9 5/6
13.
x + 11/2  = 53/4
a)
x = 4 1/4
b)
x = 4 5/4
c)
x = 4 2/2
d)
x = 5
14.
y + 7/16 = 19/32
a)
1/16
b)
- 1/16
c)
- 5/32
d)
5/32
15.
a)
c = 18/10
b)
c = 9/20
c)
c = 1   4/5
d)
none of the above
16.
a)
x=  9   1/3
b)
x = 21/4
c)
x = 5    1/4
d)
None of the above
17.
a)
a = 1
b)
a = 3/5
c)
a = 5/5
d)
None of the above
18.
1/2 + x = 3/4
a)
4/1
b)
1/4
c)
1/6
d)
4/6
19.
Solve.
2/5x = 4
a)
1/10
b)
-10
c)
10
d)
-1/10
20.
m + 5 1/4 = 14
a)
9 1/4
b)
9 3/4
c)
8 1/4
d)
8 3/4
21.

a)

2 and 3/4

b)

1 and 3/4

c)

3/4

d)

1 and 1/2

22.
a)
11 and 9/12
b)
7 and 1/9
c)
19 and 5/6
d)
20 and 4/9
23.

The objective when solving an equation is to....

a)

get the variable by itself.

b)

check the solution.

c)

guess and check.

d)

combine like terms.

24.
Beth had 3 and 1/4 cups of milk. She used 1 and 3/4 cups of the milk to bake a cake. How many cups of milk does Beth have left?
What operation do you use to solve this problem?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
25.

Eric is  6 166\ \frac{1}{6}  feet tall and his brother is  5 345\ \frac{3}{4}  feet tall. Eric is how many feet taller than his brother?

a)

712 feet\frac{7}{12}\ feet  

b)

16 feet\frac{1}{6}\ feet  

c)

512 feet\frac{5}{12}\ feet  

26.
c + 11/20 = 3/4
a)
4/20
b)
2/5
c)
1/5
d)
4/21
27.

To find the _____ you flip the fraction over.

a)

product

b)

reciprocal

c)

difference

d)

difference

28.

Choose the correct answer. It will be given in simplest form.

712÷12\frac{7}{12}\div\frac{1}{2}  

a)

814\frac{8}{14}  

b)

724\frac{7}{24}  

c)

1214\frac{12}{14}  

d)

1161\frac{1}{6}  

29.

Choose the correct answer. It will be given in simplest form.

1112÷23\frac{11}{12}\div\frac{2}{3}  

a)

2236\frac{22}{36}  

b)

1381\frac{3}{8}  

c)

1231\frac{2}{3}  

d)

1118\frac{11}{18}  

30.

True or False? Before you work out this problem you should put a 1 under the whole number 6.

78÷6\frac{7}{8}\div6  

a)

True

b)

False

31.

Solve

35÷7\frac{3}{5}\div7  

a)

215\frac{21}{5}  

b)

4154\frac{1}{5}  

c)

335\frac{3}{35}  

32.

What is the first thing you should do to solve

714÷3237\frac{1}{4}\div3\frac{2}{3}  ?

a)

Multiply the fractions

b)

Divide the Fractions

c)

Change the mixed numbers to improper fractions.

d)

Change the denominators

33.

Solve.  (Don't forget to flip the 2nd fraction after you turn it into an improper fraction.)

216÷2142\frac{1}{6}\div2\frac{1}{4}  

a)

2627\frac{26}{27}  

b)

13241\frac{3}{24}  

c)

2426\frac{24}{26}  

34.

LCM(3, 8) =

a)

16

b)

24

c)

32

d)

48

35.

LCM(5, 10) =

a)

50

b)

30

c)

10

d)

5

36.

LCM(6, 7) =

a)

84

b)

21

c)

13

d)

42

37.

LCM(12, 8)

a)

96

b)

24

c)

36

d)

72

38.

LMC(10, 6) =

a)

30

b)

60

c)

50

d)

40

39.

LCM(12, 6) =

a)

18

b)

36

c)

24

d)

12

40.

LCM(6, 8) =

a)

24

b)

12

c)

48

d)

14

41.

Find the least common multiple (LCM) of 4 and 6.

a)

4

b)

6

c)

12

d)

24

42.
What is the LCM of 7 and 8? 
a)
7
b)
8
c)
42
d)
56
43.

Check ALL the numbers that are multiples of 9.

a)

3

b)

9

c)

18

d)

24

e)

36

44.

Choose the correct list of the first five multiples of 6.

a)

6, 12, 18, 32, 36

b)

6, 14, 22, 28, 34

c)

6, 12, 18, 24, 30

d)

1, 6, 12, 18, 24

45.

A radio station is giving away a $10 bill to every 5th caller and movie tickets to every 6th caller. Which caller will be the first to win both prizes?

a)

10

b)

12

c)

20

d)

30

e)

36

46.

You and Mrs. Lawhorne are jogging around school property. It takes you 6 minutes and Mrs. L. 8 minutes to go around once. If we start at the same time in front of the school, how long till we meet again at the front?

a)

12

b)

16

c)

24

d)

36

e)

48

47.

What is the LCM of 6 and 9?

a)

12

b)

18

c)

24

d)

30

48.

The red subway comes every 5 minutes. The blue subway comes every 8 minutes. If they are both at the station now, how long will it be until they are both at the station again?

a)

20

b)

24

c)

35

d)

40

49.
a)
6/10
b)
1
c)
0
d)
9/25
50.
a)
1 1/2
b)
8/12
c)
2/8
d)
1/4
51.
a)
2/4
b)
1
c)
1/2
d)
2
52.
3/4 = (5/6)a + 2/9
a)
a=-19/30
b)
a=30
c)
a=19/30
d)
a=19
53.

{x}15=3\frac{\left\{x\right\}}{15}=3  

a)

28

b)

35

c)

45

54.

{a}7=8\frac{\left\{a\right\}}{7}=8  

a)

56

b)

28

c)

42

d)

12

55.

{r}12=1.5\frac{\left\{r\right\}}{12}=1.5  

a)

22

b)

18

c)

6

56.

{2}3r=10\frac{\left\{2\right\}}{3}r=10  

a)

15

b)

60

c)

48

57.

x +  23\frac{2}{3}   =  56\frac{5}{6}  

a)

x = 12\frac{1}{2}  

b)

x = ⅙

c)

x = 1½

d)

x = 34\frac{3}{4}  

58.

a)

2 342\ \frac{3}{4}  

b)

1 341\ \frac{3}{4}  

c)

34\frac{3}{4}  

d)

1 121\ \frac{1}{2}  

59.
a)
10 and 3/10
b)
11 and 1/10
c)
3 and 1/2
d)
5 and 1/2
60.
a)
11 and 9/12
b)
7 and 1/9
c)
19 and 5/6
d)
20 and 4/9
61.

y + 716\frac{7}{16}   = 1932\frac{19}{32}  

a)

116\frac{1}{16}  

b)

132\frac{1}{32}  

c)

1232\frac{12}{32}  

d)

532\frac{5}{32}  

62.
x - 5/6  = 10
a)
x = 10 5/6
b)
x = 9 1/6
c)
x = 9 5/6
63.
a)

75=1 25\frac{7}{5}=1\ \frac{2}{5}

b)

15\frac{1}{5}

c)

710\frac{7}{10}

d)

110\frac{1}{10}

64.
a)

921\frac{9}{21}

b)

1314\frac{13}{14}

c)

17\frac{1}{7}

d)

914\frac{9}{14}

65.

Be sure to simplify!!

a)

4 684\ \frac{6}{8}  

b)

4 344\ \frac{3}{4}  

c)

2 482\ \frac{4}{8}  

66.
a)

3 683\ \frac{6}{8}

b)

2 122\ \frac{1}{2}

c)

2 482\ \frac{4}{8}

d)

3 123\ \frac{1}{2}

67.

Be sure to simplify!!

a)

2 482\ \frac{4}{8}  

b)

6 6166\ \frac{6}{16}  

c)

6 8126\ \frac{8}{12}  

d)

6 236\ \frac{2}{3}  

68.

True or False: you have to have a common denominator in order to add or subtract fractions

a)

True

b)

False

69.

Solve:

t−23=16t-\frac{2}{3}=\frac{1}{6}  



(a)  

70.

n + 13  = 79n\ +\ \frac{1}{3}\ \ =\ \frac{7}{9}  

a)

n =119n\ =1\frac{1}{9}  

b)

n =49n\ =\frac{4}{9}  

c)

n =53n\ =\frac{5}{3}  

71.

n + 215  = 5710n\ +\ 2\frac{1}{5}\ \ =\ 5\frac{7}{10}  

a)

n =312n\ =3\frac{1}{2}  

b)

n =7910n\ =7\frac{9}{10}  

c)

n =815n\ =\frac{8}{15}  

72.

n − 14  = 19n\ -\ \frac{1}{4}\ \ =\ \frac{1}{9}  

a)

n =1336n\ =\frac{13}{36}  

b)

n =213n\ =\frac{2}{13}  

c)

n =536n\ =\frac{5}{36}  

73.

78\frac{7}{8}  of the people at a movie theater buy popcorn. 34\frac{3}{4}   of these people upgrade to a drink and popcorn combo. What fraction of the people from the whole movie theater get the drink and popcorn combo?

a)

1132\frac{11}{32}  of the people

b)

78\frac{7}{8} of the people 

c)

2132\frac{21}{32}  of the people

d)

58\frac{5}{8}  of the people

74.

Jughead eats 1 12\frac{1}{2}  burgers and Betty eats 67\frac{6}{7}  of a burger. How much more did Jughead eat?

a)

1114\frac{11}{14}  of a burger

b)

914\frac{9}{14}  of a burger

c)

57\frac{5}{7}  of a burger

d)

37\frac{3}{7}  of a burger

75.
Snow fell in Newton twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?
a)
1/8
b)
3/10
c)
5/8
d)
7/8
76.
Simon has 1/5 of a gallon of cranberry juice, 1/3 of a gallon of apple juice, and 7/10 of a gallon of grape juice. How much juice does Simon have?
a)
9/30
b)
1/2
c)
1  7/30
d)
1  13/30
77.

There were 1121\frac{1}{2}  pizzas left after the party. John's father ate 34\frac{3}{4}  of the leftovers for a midnight snack. What fraction of a whole pizza did John's father eat?

a)

1181\frac{1}{8}  

b)

43\frac{4}{3}  

c)

48\frac{4}{8}  

d)

1141\frac{1}{4}  

78.

Three fifths of a pizza was covered with jalapenos. If Stacy ate 34\frac{3}{4}  of the jalapeno slices, what fraction of a whole pizza did she eat?

a)

1512\frac{15}{12}  

b)

920\frac{9}{20}  

c)

69\frac{6}{9}  

d)

87\frac{8}{7}  

79.

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 

80.

Annie is baking cakes for her brother's birthday. She uses 45\frac{4}{5}  cups of flour for each cake. If she bakes 3 cakes, how many cups of flour will she need in all?

a)

415\frac{4}{15}  cups

b)

1451\frac{4}{5}  cups

c)

2252\frac{2}{5}  cups

d)

3153\frac{1}{5}  cups

81.

Mr. Rodriguez has 58\frac{5}{8}   ton of mulch to be divided evenly among 6 garden boxes. How much mulch will each garden box get?

a)

308\frac{30}{8}  ton

b)

18\frac{1}{8}  ton

c)

548\frac{5}{48}  ton

d)

1148\frac{11}{48}   ton

82.

I have a 6 foot-long piece of wood that I want to cut to build picture frames. If each piece is going to be 34\frac{3}{4}   foot long, how many pieces will I be able to cut?

a)

8 pieces

b)

6 pieces

c)

12 pieces

d)

24 pieces