Chapters
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 1
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 2
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 3
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 4
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 5
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 6
- Solution of exercise Algebraic Fractions Worksheet
- Solution of exercise 7
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: