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Operations with algebraic fractions

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

 78y× 25y\frac{\text{7}}{\text{8y}}\times\ \frac{2}{5y}  

a)

 913y\frac{9}{13y}  

b)

 1440y2\frac{14}{40y^2}  

c)

 51y40y2\frac{51y}{40y^2}  

d)

 35y + 16y13y\frac{35y\ +\ 16y}{13y}  

2.

 910h×5h4\frac{9}{10h}\times\frac{5h}{4}  

a)

 45h240h\frac{45h^2}{40h}  

b)

 9h8h\frac{9h}{8h}  

c)

 45h40h\frac{45h}{40h}  

d)

 98\frac{9}{8}  

3.

 710f÷34t\frac{7}{10f}\div\frac{3}{4t}  

a)

 1415f\frac{14}{15f}  

b)

 14t15f\frac{14t}{15f}  

c)

 28t30f\frac{28t}{30f}  

d)

 15f\frac{-1}{5f}  

4.

 5q7÷9q8\frac{5q}{7}\div\frac{9q}{8}  

a)

 40q63q\frac{40q}{63q}  

b)

 14q15\frac{14q}{15}  

c)

 103q56\frac{103q}{56}  

d)

 45q63\frac{45q}{63}  

5.
a)

10a/10b

b)

10a/5b

c)

2a/b

d)

a/b

6.

(The second numerator is 2 x L NOT 21)

a)

(2k-6l )/12

b)

(4k-12l )/24

c)

(k-3l)/6

d)

(3d-2l)/24

7.
a)

8m2/8n2

b)

13m/4n

c)

13m2/4n2

d)

8m/8n

8.
a)

a/2

b)

3a/6

c)

8a/6

d)

7a/6

9.

Simplify 4rs2s\frac{4}{rs}-\frac{2}{s}  

a)

 42rrs\frac{4-2r}{rs}  

b)

 4r2rs\frac{4r-2}{rs}  

c)

 42srs\frac{4-2s}{rs}  

d)

 4s2rs\frac{4s-2}{rs}  

10.
a)
4/x
b)
x/4
c)
1/4x
d)
4x