Do you want to cover the Addition and Subtraction of Rational Numbers in one go? Then, you have come the right way where you will get a Worksheet on Addition and Subtraction of Rational Numbers. We tried covering everything like Addition and Subtraction of Rational Numbers with both Same as well as Different Denominators. You can always look up to our Rational Numbers Worksheets to clear all your queries.
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