EXPRESSING AS A SINGLE FRACTION

When we add two or more fractions in general, first we will look into the denominators and check if they are same or not.

If they are same, we can write only one denominator and add the numerators.

If the denominators are different, we can take least common multiple and add the fractions.

Adding fraction and integer.

Problem 1 :

(x + 1)/3 + 2

Solution :

Given, (x + 1)/3 + 2

By cross multiplication, we get

Problem 2 :

3 + (x – 1)/4

Solution :

Given, 3 + (x – 1)/4

By cross multiplication, we get

Problem 3 :

(2x + 1)/6 + 2

Solution :

Given, (2x + 1)/6 + 2

By cross multiplication, we get

Problem 4 :

(2x + 3)/4 + (x – 1)/5

Solution :

Given, (2x + 3)/4 + (x – 1)/5

Taking the least common multiple, 

Problem 5 :

(3x + 2)/4 + (2x + 1)/2

Solution :

Given, (3x + 2)/4 + (2x + 1)/2

Taking the least common multiple, 

Problem 6 :

(2x – 1)/3 + (2x + 5)/9

Solution :

Given, (2x – 1)/3 + (2x + 5)/9

Taking the least common multiple, 

Problem 7 :

(x + 1)/10 + (2x – 1)/5

Solution :

Given, (x + 1)/10 + (2x – 1)/5

Taking the least common multiple, 

Problem 8 :

(x – 8)/3 + (2x – 3)/5

Solution :

Given, (x – 8)/3 + (2x – 3)/5

Taking the least common multiple, 

Problem 9 :

(4x + 7)/6 + (5x – 1)/3

Solution :

Given, (4x + 7)/6 + (5x – 1)/3

Taking the least common multiple, 

Problem 10 :

(1 + 3x)/7 + (2x – 3)/14

Solution :

Given, (1 + 3x)/7 + (2x – 3)/14

Taking the least common multiple, 

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