ADDING AND SUBTRACTING FRACTIONS PRACTICE QUESTIONS

If two or more fractions are added or subtracted first we have to check the denominators, whether they are same or not.

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

If the denominators are not same, we have to take least common multiple and make them same.

After making the denominators same, we have to put only one denominator and add the numerators.

Problem 1 :

Add :

2/5  +  1/2

Solution :

Problem 2 :

Subtract  3/5  - 1/4

Solution :

Problem 3 :

Subtract   3/7 - 1/2

Solution :

Problem 4 :

Simplify  -1/2 + 3/4

Solution :

Problem 5 :

Simplify 1/10  -  4/5

Solution :

Problem 6 :

Simplify  7/9 + 2/3

Solution :

=  1  4/9

So, the answer is 1  4/9.

Problem 7 :

Find the sum of 1/3 and 2/5.

Solution :

Problem 8 :

The difference between 1/4 and 2/3.

Solution :

Problem 9 :

The number 3 less than 2/3.

Solution :

Problem 10 :

What must 1/5 be increased by to get 2/3 ?

Solution :

Let x be the required number.

1/5 + x  =  2/3

x  =  (2/3) - (1/5)

lcm (3, 5)  =  15

x  =  (10/15) - (3/15)

x  =  (10-3)/15

x  =  7/15

Problem 11 :

What number is 3/4 less than -1  1/2 ?

Solution :

Let x be the required number.

x  =  -1  1/2 - (3/4)

x  =  -(3/2) - (3/4)

x  =  (-6-3)/4

x  =  -9/4

x  =  -2   1/4

So, the required number is -2  1/4.

Problem 12 :

Add 5/6, 3/5 and 1/3.

Solution :

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