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Worksheets

Converting Mixed Numbers and Improper Fractions

Total questions: 79

Worksheet time: 2hrs 6mins

Name
Class
Date
1.

Convert to an improper fraction

a)
5/4
b)
4/5
c)
11/4
d)
4/11
2.

Convert to an improper fraction

a)
21/4
b)
9/4
c)
4/9
d)
2/4
3.

245\frac{24}{5}  Convert to a mixed number

a)

3 953\ \frac{9}{5}  

b)

3 253\ \frac{2}{5}  

c)

4 454\ \frac{4}{5}  

d)

4 154\ \frac{1}{5}  

4.

334\frac{33}{4}   Convert to a mixed number

a)

7 347\ \frac{3}{4}  

b)

6 246\ \frac{2}{4}  

c)

8 248\ \frac{2}{4}  

d)

8 148\ \frac{1}{4}  

5.

Convert 224\frac{22}{4}  into a mixed number. 

a)

5 245\ \frac{2}{4}  

b)

4 5224\ \frac{5}{22}  

c)

6 126\ \frac{1}{2}  

d)

None of the above

6.

Convert 3143\frac{1}{4}  into an improper fraction. 

a)

11241\frac{12}{4}  

b)

133\frac{13}{3}  

c)

154\frac{15}{4}  

d)

None of the above

7.

Convert 197\frac{19}{7}  into a mixed number. 

a)

3 173\ \frac{1}{7}  

b)

2 672\ \frac{6}{7}  

c)

2572\frac{5}{7}  

d)

None of the above

8.

Convert 2352\frac{3}{5}  into an improper fraction.

a)

135\frac{13}{5}  

b)

215\frac{21}{5}  

c)

105\frac{10}{5}  

d)

None of the above

9.

Convert 116\frac{11}{6}  into a mixed number. 

a)

2 162\ \frac{1}{6}  

b)

1561\frac{5}{6}  

c)

1651\frac{6}{5}  

d)

None of the above

10.

Convert 6136\frac{1}{3}  into an improper fraction.

a)

103\frac{10}{3}  

b)

193\frac{19}{3}  

c)

173\frac{17}{3}  

d)

None of the above

11.

Convert 168\frac{16}{8}  into a mixed number. 

a)

22  

b)

1781\frac{7}{8}  

c)

2182\frac{1}{8}  

d)

None of the above

12.

Convert 137\frac{13}{7}  into a mixed number. 

a)

22  

b)

1761\frac{7}{6}  

c)

1371\frac{3}{7}  

d)

None of the above

13.

Convert 5165\frac{1}{6}  into an improper fraction.

a)

115\frac{11}{5}  

b)

126\frac{12}{6}  

c)

316\frac{31}{6}  

d)

None of the above

14.

Convert 4274\frac{2}{7}  into an improper fraction.

a)

137\frac{13}{7}  

b)

307\frac{30}{7}  

c)

157\frac{15}{7}  

d)

None of the above

15.
a)

522\frac{5}{22}  

b)

122\frac{12}{2}  

c)

124\frac{12}{4}  

d)

125\frac{12}{5}  

16.
a)

377\frac{37}{7}  

b)

527\frac{52}{7}  

c)

737\frac{7}{37}  

d)

377\frac{37}{7}  

17.
a)

112\frac{11}{2}  

b)

212\frac{21}{2}  

c)

202\frac{20}{2}  

d)

122\frac{12}{2}  

18.
a)

244\frac{24}{4}  

b)

354\frac{35}{4}  

c)

113\frac{11}{3}  

d)

283\frac{28}{3}  

19.
a)

359\frac{35}{9}  

b)

369\frac{36}{9}  

c)

249\frac{24}{9}  

d)

279\frac{27}{9}  

20.
a)

214\frac{21}{4}  

b)

94\frac{9}{4}  

c)

49\frac{4}{9}  

d)

34\frac{3}{4}  

21.
a)

522\frac{5}{22}  

b)

122\frac{12}{2}  

c)

124\frac{12}{4}  

d)

125\frac{12}{5}  

22.
a)

377\frac{37}{7}  

b)

527\frac{52}{7}  

c)

737\frac{7}{37}  

d)

377\frac{37}{7}  

23.
a)

112\frac{11}{2}  

b)

212\frac{21}{2}  

c)

202\frac{20}{2}  

d)

122\frac{12}{2}  

24.
a)

244\frac{24}{4}  

b)

354\frac{35}{4}  

c)

113\frac{11}{3}  

d)

283\frac{28}{3}  

25.
a)

359\frac{35}{9}  

b)

369\frac{36}{9}  

c)

249\frac{24}{9}  

d)

279\frac{27}{9}  

26.
a)

115\frac{1}{15}  

b)

1516\frac{15}{16}  

c)

1615\frac{16}{15}

d)

215\frac{2}{15}  

27.
a)

245\frac{24}{5}  

b)

105\frac{10}{5}  

c)

305\frac{30}{5}  

d)

345\frac{34}{5}  

28.
a)

197\frac{19}{7}  

b)

117\frac{11}{7}  

c)

777\frac{77}{7}  

d)

787\frac{78}{7}  

29.

What type of number is this?

a)

Mixed number

b)

Improper fraction

30.

Which mixed number is represented by the model?

a)

3 143\ \frac{1}{4}  

b)

3 123\ \frac{1}{2}  

c)

3 343\ \frac{3}{4}  

d)

1316\frac{13}{16}  

31.

Which mixed number is represented by the model?

a)

2 382\ \frac{3}{8}  

b)

1 381\ \frac{3}{8}  

c)

2 582\ \frac{5}{8}  

d)

2 572\ \frac{5}{7}  

32.

Which mixed number is represented by the model?

a)

3 253\ \frac{2}{5}  

b)

3 353\ \frac{3}{5}  

c)

2 352\ \frac{3}{5}  

d)

1820\frac{18}{20}  

33.

Which mixed number is represented by the shaded part of the model?

a)

34\frac{3}{4}  

b)

2 432\ \frac{4}{3}  

c)

2 342\ \frac{3}{4}  

d)

2 142\ \frac{1}{4}  

34.

1.The BOTTOM part of the fraction is known as

a)

whole number

b)

numerator

c)

denominator

35.

5. The improper fraction of this mixed fraction is ...

a)

65\frac{6}{5}  

b)

115\frac{11}{5}  

c)

265\frac{26}{5}  

d)

56\frac{5}{6}  

36.

6. The improper fraction of this mixed fraction is ...

a)

267\frac{26}{7}  

b)

107\frac{10}{7}  

c)

87\frac{8}{7}  

d)

157\frac{15}{7}  

37.

8. The improper fraction of this mixed fraction is ...

a)

199\frac{19}{9}  

b)

139\frac{13}{9}  

c)

939\frac{93}{9}  

d)

229\frac{22}{9}  

38.

9. The improper fraction of this mixed fraction is ...

a)

158\frac{15}{8}  

b)

608\frac{60}{8}  

c)

368\frac{36}{8}  

d)

118\frac{11}{8}  

39.
What is the first step in changing a mixed number to an improper fraction?
a)
Add the numerator and denominator
b)
Add the whole number to the numerator
c)
Multiply the numerator and denominator
d)
Multiply the whole number and the denominator
40.
What is the first step in changing an improper fraction to a mixed number?
a)
Divide the denominator by the numerator
b)
Divide the numerator by the denominator
c)
Make the remainder the numerator
d)
Keep the denominator the same
41.

What is true about Improper Fractions?

a)

All Improper Fractions are greater than 1.

b)

All improper fractions have numerators that are bigger than their denominators.

c)

All improper fractions can be turned into a mixed number.

d)

All of these statements are true!

42.
Write this improper fractions as a mixed number.
a)

11 1211\ \frac{1}{2}  

b)

10 1210\ \frac{1}{2}  

c)

12 1412\ \frac{1}{4}  

d)
20
43.

Convert this fraction into mixed number 

145\frac{14}{5}  

a)

2252\frac{2}{5}  

b)

1951\frac{9}{5}  

c)

2452\frac{4}{5}  

44.

Convert this fraction into mixed number
72\frac{7}{2}  

a)

3123\frac{1}{2}  

b)

2322\frac{3}{2}  

c)

3223\frac{2}{2}  

45.

Convert this fraction into mixed number
214\frac{21}{4}  

a)

5 245\ \frac{2}{4}  

b)

5 145\ \frac{1}{4}  

c)

5 345\ \frac{3}{4}  

46.

Convert this fraction into mixed number

229\frac{22}{9}  

a)

2 392\ \frac{3}{9}  

b)

2 492\ \frac{4}{9}  

c)

2 292\ \frac{2}{9}  

47.

Convert this fraction into mixed number

256\frac{25}{6}  

a)

4 364\ \frac{3}{6}  

b)

4 264\ \frac{2}{6}  

c)

4 164\ \frac{1}{6}  

48.

Convert this fraction into mixed number
317\frac{31}{7}  

a)

4 374\ \frac{3}{7}  

b)

5 175\ \frac{1}{7}  

c)

4 274\ \frac{2}{7}  

49.

Convert this fraction into mixed number
478\frac{47}{8}  

a)

5 685\ \frac{6}{8}  

b)

5 785\ \frac{7}{8}  

c)

5 585\ \frac{5}{8}  

50.

Convert this fraction into mixed number

769\frac{76}{9}  

a)

8 598\ \frac{5}{9}  

b)

8 298\ \frac{2}{9}  

c)

8 498\ \frac{4}{9}  

51.

Convert this fraction into mixed number
10310\frac{103}{10}  

a)

10 31010\ \frac{3}{10}  

b)

10 11010\ \frac{1}{10}  

c)

10 71010\ \frac{7}{10}  

52.

Convert this fraction into mixed number
6911\frac{69}{11}  

a)

6 4116\ \frac{4}{11}  

b)

6 2116\ \frac{2}{11}  

c)

6 3116\ \frac{3}{11}  

53.

Convert 106\frac{\text{10}}{\text{6}}  to a mixed number.

a)

2  410\frac{4}{10}  

b)

1461\frac{\text{4}}{\text{6}}  

c)

4464\frac{\text{4}}{\text{6}}  

d)

2462\frac{\text{4}}{\text{6}}  

54.

Convert 236\frac{\text{23}}{\text{6}}  into a mixed number.

a)

2 362\ \frac{\text{3}}{\text{6}}  

b)

2 4232\ \frac{\text{4}}{\text{23}}  

c)

4

d)

2 562\ \frac{\text{5}}{\text{6}}  

55.

Convert 16101\frac{\text{6}}{\text{10}}  to an improper fraction.

a)

1610\frac{\text{16}}{\text{10}}  

b)

1710\frac{\text{17}}{\text{10}}  

c)

166\frac{\text{16}}{\text{6}}  

d)

176\frac{\text{17}}{\text{6}}  

56.

Convert 1351\frac{\text{3}}{\text{5}}  to an improper fraction.

a)

85 \frac{8}{5\ }  

b)

95\frac{9}{5}  

c)

63\frac{6}{3}  

d)

155\frac{15}{5}  

57.

Convert  7 157\ \frac{1}{5}  to an improper fraction.

a)

135\frac{13}{5}  

b)

131\frac{13}{1}  

c)

365\frac{36}{5}  

d)

76\frac{7}{6}  

58.

Simplify 1525\frac{15}{25}  

a)

12\frac{1}{2}  

b)

35\frac{3}{5}  

c)

25\frac{2}{5}  

d)

Cannot be simplified

59.

Simplify 832\frac{8}{32}

a)

14\frac{1}{4}  

b)

28\frac{2}{8}  

c)

13\frac{1}{3}  

d)

23\frac{2}{3}  

60.

Simplify 1326\frac{13}{26}  

a)

Cannot be simplified

b)

45\frac{4}{5}  

c)

13\frac{1}{3}  

d)

12\frac{1}{2}  

61.

When the numerator is greater than or equal to the denominator is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

62.

A whole number and a fraction together is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

63.

In converting the improper fraction into a mixed number, after you divide the numerator by the denominator, you put the _____ as a new numerator

a)

dividend

b)

divisor

c)

quotient

d)

remainder

64.

Which number always stays the same when converting improper fractions into mixed numbers or mixed numbers into improper fractions?

a)

numerator

b)

whole number

c)

denominator

d)

fraction bar

65.

Which mixed number does the shaded part of the model represent?

a)

1 271\ \frac{2}{7}  

b)

1 381\ \frac{3}{8}  

c)

1 351\ \frac{3}{5}  

d)

1 571\ \frac{5}{7}  

66.

Which expression shows the necessary math for making

2 252\ \frac{2}{5}  into an improper fraction

a)

2÷5+22\div5+2  

b)

2⋅5⋅22\cdot5\cdot2  

c)

2⋅5+22\cdot5+2  

d)

2⋅5−22\cdot5-2  

67.

Which expression shows the correct steps need to write 163\frac{16}{3}  as a mixed number?

a)

16⋅316\cdot3  

b)

16−316-3  

c)

16+316+3  

d)

16÷316\div3  

68.

Change this Improper Fraction to a Mixed Number.

a)

5 135\ \frac{1}{3}  

b)

4 234\ \frac{2}{3}  

c)

6

d)

5 235\ \frac{2}{3}  

69.

Change this Mixed Number into an Improper Fraction.

a)

508\frac{50}{8}  

b)

208\frac{20}{8}  

c)

168\frac{16}{8}  

d)

128\frac{12}{8}  

70.
Convert to an improper fraction.
a)

93\frac{9}{3}  

b)

153\frac{15}{3}  

c)

163\frac{16}{3}  

d)

83\frac{8}{3}  

71.
Convert to an improper fraction.
a)

75\frac{7}{5}  

b)

1410\frac{14}{10}  

c)

1310\frac{13}{10}  

72.

Rewrite as a mixed number 72\frac{7}{2}  

a)

3  12\frac{1}{2}  

b)

7  12\frac{1}{2}  

c)

4  12\frac{1}{2}  

d)

2  22\frac{2}{2}  

73.

Rewrite as an improper fraction 4 9114\ \frac{9}{11}  

a)

449\frac{44}{9}  

b)

4911\frac{49}{11}  

c)

4411\frac{44}{11}  

d)

5311\frac{53}{11}  

74.
Find the product:
a)

924\frac{9}{24}  

b)

928\frac{9}{28}  

c)

611\frac{6}{11}  

d)

128\frac{1}{28}  

75.
Multiply these fractions:
a)

15\frac{1}{5}  

b)

1

c)

16\frac{1}{6}  

d)
0
76.
Find the product:
a)

350\frac{3}{50}  

b)

3050\frac{30}{50}  

c)
6
d)

1 151\ \frac{1}{5}  

77.
a)

38\frac{3}{8}  

b)

3 183\ \frac{1}{8}  

c)

124\frac{1}{24}  

d)

48\frac{4}{8}  

78.
Find the product.  Then, simplify.
a)

224\frac{2}{24}  

b)

2

c)

112\frac{1}{12}  

d)

318\frac{3}{18}  

79.
Write in simplest form.
a)

14\frac{1}{4}  

b)

1

c)

624\frac{6}{24}  

d)

618\frac{6}{18}  

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