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Let's go

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:

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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.