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Multiply and Divide Algebraic Fractions

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.
a)
18c/15b
b)
c/b
c)
9c/10b
d)
12c/15b
2.

Multiply and simplify (the dot means 'multiply')

a)

y6/12

b)

3y6/12

c)

y5/12

d)

4y5/12

3.
a)

6am/10a

b)

9

c)

9ma/3a

d)

6m

4.
a)

2by/c

b)

4xb/ac

c)

2xb/ac

d)

ac/dc

5.
a)

3c

b)

9b/4a

c)

4a

d)

2c/b

6.
a)

4/p

b)

5/p

c)

14/p2

d)

4/p2

7.
a)

a2/6

b)

2a/3a

c)

3a/2a

d)

3/2

8.
a)
A.
b)
B.
c)
C.
d)
D.
9.
a)
6y⁴/x³
b)
12x/y²
c)
6xy²
d)
32y⁴/75x³
10.

Q1. What is the value of the expression?

a)

4/a

b)

(a+5)

c)

44/15

d)

(a+5)/(a+3)

11.

Q1. What is the value of x in the equation 4/x = 1/4x?

a)

A) 4/x

b)

B) x/4

c)

C) 1/4x

d)

D) 4x

12.

Simplify the above

a)

( 36 x z2 ) / (392 y2 )

b)

( 7 x ) / ( 8 yz2 )

c)

7 / 8

d)

( 7 x ) / ( 8 y)

13.
a)
4r
b)
4r/(16r+80)2
c)
r
d)
(16r+80)2/4r
14.
a)
6/5x
b)
(x-4)/(x-2)
c)
(x+3)/(x+2)
d)
(x+3)/(x-4)
15.
a)
A.
b)
B.
c)
C.
d)
D.
16.

Multiply.

a)

8x5/9

b)

-8x5/9

17.

Multiply.

a)

8x/35

b)

-8x/35

c)

8x2/35

d)

-8x2/35

18.
a)
a
b)
b
c)
c
d)
d
19.

Multiply and Simplify 

a)

4(x+3)/(x+2)

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3)

d)

4(x+1)/(x+2), 

20.
a)
A
b)
B
c)
C
d)
D