Exercise 1
Simplify:
1 
2 
3 
4 
5 
Exercise 2
Calculate:
Exercise 3
Calculate:
Exercise 4
Calculate:
1 
2 
Exercise 5
Calculate:
1 
2 
Exercise 6
Calculate:
Exercise 7
Calculate:
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Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 1
Simplify:
1 
is the factor both in the numerator and the denominator:
Cancel from the numerator and the denominator:
=
2 
is the common factor in the numerator and the denominator:
Make it 
:
Cancel 
from both the numerator and denominator. The resultant answer will be .
3. 
Factorize the numerator and the denominator:
will be cancelled from both numerator and the denominator:
3
Factorize the numerator and the denominator:
Cancel from both numerator and the denominator:
4
Factorize the numerator and the denominator:
Cancel 
from the numerator and the denominator:
5
Factorize the numerator and the denominator:
The common factors will be cancelled:
Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 2
Calculate:
Take L.C.D of the above expression:
can be written as 
:
will be cancelled from both the numerator and the denominator. Hence, the resultant answer will be:
Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 3
Calculate:
Least Common Denominator ( L.C.D) is 
The parentheses in the numerator will be opened and the signs of all the terms inside it will be reversed:
can be factored as
Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 4
Calculate:
1
2
Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 5
Calculate:
1
The second expression will be reversed because of the division sign:
2
The second fraction will be reversed because of the division sign:
Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 6
Calculate:
Since, 
, so can be written as:
Take L.C.D of both the expressions:
Solution of exercise Algebraic Fractions Worksheet
Solution of exercise 7
Calculate:
Take L.C.D of the second expression:
Summarise with AI:
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