WRITE AS A SINGLE FRACTION

Example 1 :

2/x+2 – 4/2x+1

Solution :

2/x+2 – 4/2x+1

Since denominators are not same, we take the LCM of  (x+2) and (2x+1)

Example 2 :

5/x – 2/x+3

Solution :

5/x – 2/x+3

Since denominators are not same, we take the LCM of  (x) and (x+3)

Example 3 :

x/(x+2) + 3/(x-4)

Solution :

x/(x+2) + 3/(x-4)

Since denominators are not same. we take the LCM of  (x+2) and (x-4)

Example 4 :

2 + 4/x-3

Solution :

2 + 4/x-3

Since denominators are not same. we take LCM of 1 and (x-3)

Example 5 :

3x/x+2 - 1

Solution :

3x/x+2 - 1

Since denominators are not same, we take the LCM of 1 and (x+2)

Example 6 :

x/(x+3) + x-1/(x+2)

Solution :

x/(x+3) + x-1/(x+2)

Since denominators are not same, we take the LCM of (x+3) and (x+2)

Example 7 :

2/x(x+1) + 1/(x+1)

Solution :

2/x(x+1) + 1/(x+1)

Since denominators are not same, we take LCM of x(x+1) and x

Example 8 :

1/(x-1) - 1/x + 1/(x+1)

Solution :

1/(x-1) - 1/x + 1/(x+1)

Since denominators are not same, we take LCM of x-1, x and x+1

Example 9 :

x/(x-1) - 1/x + x/(x+1)

Solution :

x/(x-1) - 1/x + x/(x+1)

Since denominators are not same, we take the LCM of x-1, x and x+1

Example 10 :

2/x+1 - 1/x-1 + 3/x+2

Solution :

2/x+1 - 1/x-1 + 3/x+2

Since denominators are not same, we take the LCM of x+1, x-1 and x+2

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