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Multiplying Fractions and Mixed Numbers Worksheet

Multiplying Fractions and Mixed Numbers Worksheet
  • Page 1
 1.  
61 4 × 44 5 = ______
a.
31
b.
30
c.
32
d.
29


Solution:

614 × 445

= 254 × 245
[Write each mixed number as an improper fraction.]

= 51 × 61
[Cancel 25 with 5 and 24 with 4.]

= 5 × 61 × 1
[Multiply numerators and denominators.]

= 301 = 30
[Write 30 / 1 as 30.]

61 / 4 × 44 / 5 = 30


Correct answer : (2)
 2.  
2 3 × 101 2 = ____
a.
6
b.
9
c.
7
d.
8


Solution:

23 × 1012

= 23 × 212
[Write the mixed number as an improper fraction.]

= 11 × 71
[Cancel 2 with 2 and 21 with 3.]

= 1 × 71 × 1
[Multiply the numerators and the denominators.]

= 71 = 7
[Write 7 / 1 as 7.]

2 / 3 × 101 / 2 = 7


Correct answer : (3)
 3.  
11000 × 5 11 = ______
a.
6000
b.
4000
c.
5000
d.
7000


Solution:

11000 × 511

= 110001 × 511
[Write 11000 as 11000 / 1.]

= 11000 × 511 × 1
[Multiply the numerators and denominators.]

= 5500011
[Find the two products.]

= 5000
[Divide 55000 by 11.]

11000 × 5 / 11 = 5000


Correct answer : (3)
 4.  
3 7 × 483 = ______
a.
197
b.
187
c.
217
d.
207


Solution:

37 × 483

= 37 × 4831
[Write 483 as 483 / 1.]

= 3 × 4837 × 1
[Multiply the numerators and the denominators.]

= 14497
[Find the two products.]

= 207
[Write 1449 / 7 in simplest form.]

3 / 7 × 483 = 207


Correct answer : (4)
 5.  
1 5 × 20 = ____
a.
4
b.
9
c.
3
d.
1


Solution:

1 / 5 × 20

= 1 × 205×1
[Group the numerators and denominators.]

= 20 / 5 = 4
[Simplify.]

1 / 5 × 20 = 4


Correct answer : (1)
 6.  
4 7 × 385 = ______
a.
220
b.
210
c.
155
d.
165


Solution:

47 × 385

= 4 × 55
[385 / 7 = 55.]

= 220
[Multiply.]

4 / 7 × 385 = 220


Correct answer : (1)
 7.  
8 × 3 4 = ______
a.
7
b.
9
c.
6
d.
8


Solution:

8 × 34

= 81 × 34
[Write 8 as 8 / 1.]

= 8 × 31 × 4
[Multiply the numerators and denominators.]

= 244
[Find the two products.]

= 6
[Write 24 / 4 in simplest form.]

8 × 3 / 4 = 6


Correct answer : (3)
 8.  
1 6 × 60 = ______
a.
10
b.
9
c.
11
d.
13


Solution:

16 × 60

= 16 × 601
[Write 60 as 60 / 1.]

= 1 × 606 × 1
[Multiply the numerators and denominators.]

= 606
[Find the two products.]

= 10
[Divide 60 by 6.]

1 / 6 × 60 = 10


Correct answer : (1)
 9.  
1 5 × 15 = ______
a.
6
b.
4
c.
3
d.
5


Solution:

15 × 15

= 15 × 151
[Write 15 as 15 / 1.]

= 1 × 155 × 1
[Multiply the numerators and denominators.]

= 155
[Find the two products.]

= 3
[Divide 15 by 5.]

1 / 5 × 15 = 3


Correct answer : (3)
 10.  
3 4 × 40 = ______
a.
35
b.
30
c.
34
d.
33


Solution:

34 × 40

= 34 × 401
[Write 40 as 40 / 1.]

= 3 × 404 × 1
[Multiply the numerators and denominators.]

= 1204
[Find the two products.]

= 30
[Divide 120 by 4.]


Correct answer : (2)

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