# Worksheet on Addition and Subtraction of Rational Numbers | Adding & Subtracting Rational Numbers Worksheets

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Assess your preparation levels using the Worksheets for Addition and Subtraction of Rational Numbers. To help you we have listed numerous questions that can aid your preparation. Practice them on a regular basis and get the step by step solution listed here.

1. Add the following rational numbers

(i) 2/24+12/24 (ii)10/4+13/4

Solution:

(i) 2/24+12/24

= (2+12)/24

= 14/24

(ii) 10/4+13/4

= (10+13)/4

= 23/4

2. Add the following rational numbers

(i) 3/4 and -5/3 (ii) -5 and -4/3

Solution:

Find the LCM of 4, 3 since the denominators aren’t the same.

LCM(4, 3) = 12

3/4 = 3*3/4*3 = 9/12

-5/3 = -5*4/3*4 = -20/12

= 9/12-20/12

= -11/12

(ii) -5 and -4/3

Find the LCM of 1, 3 since the denominators aren’t the same.

LCM(1, 3) = 3

-5/1 = -5*3/1*3 = -15/3

-4/3 = -4*1/3*1 = -4/3

= -15/3-4/3

= -19/3

3. Find the Sum of 0+4/3?

Solution:

= 0+4/3

= (0+4)/3

= 4/3

4. What number should be added to -2 to get the Rational Number 4/7?

Solution:

-2 +x = 4/7

x = 4/7-(-2)

= 4/7+2

= 18/7

5. Simplify the following and write the result as a whole number, improper fraction, or mixed fraction.

3/4+2/4

Solution:

Since Denominators aren’t the same we have

= (3+2)/4

= 5/4

6. Simplify the following and write the result as a whole number, improper fraction, or mixed fraction.

12/10 – 4/10

Solution:

= (12-4)/10

= 8/10

7. Simplify the following and write the result as a whole number, improper fraction, or mixed fraction

5/4 – 2/5

Solution:

Since the Denominators aren’t the same we need to find the LCM

LCM(4, 5) = 20

5/4 = 5*5/4*5 = 25/20

2/5 = 2*4/5*4 = 8/20

= 25/20 – 8/20

= 17/20

8. Simplify 2/5+4/8?

Solution:

Find the LCM of 5, 8 i.e. 40

2/5 = 2*8/5*8 = 16/40

4/8 = 4*5/8*5 = 20/40

= 16/40+20/40

= 36/40