## 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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