Addition and Subtraction of Rational Numbers: Practice Questions with Solutions
Question 1: Add 3/4 + 2/5.
Solution :
We are using this formula, a/b + c/d = (a βd + c β b ) / b β d
Putting the values of a, b,c and d in the formula
3/4 + 2/5 = (3 β 5 + 2 β 4 ) / 4 β 5 β (15+8) / 20 β 23/20
Question 2: Subtract 7/8 β 3/5.
Solution :
We are using this formula , a/b β c/d = (a βd β c β b ) / b β d
Putting the values of a, b,c and d in the formula
7/8 β 3/5 = ( 7 β 5 β 3 β 8) / 8 β 5 β (35-24)/40 β 11 /40
Question 3: Add 1/2 + (-3)/4
Solution :
We are using this formula , a/b + c/d = (a βd + c β b ) / b β d
Putting the values of a, b,c and d in the formula
1/2 + (-3)/4 = (1 β 4 + (-3) β 2 ) / 2 β 4 β (4-6)/8 β -2/8 β -1/4
Question 4: Subtract -5/6 β 1/3
Solution :
We are using this formula, a/b β c/d = (a βd β c β b ) / b β d
Putting the values of a, b,c and d in the formula
-5/6 β 1/3 = (-5 β 3 β 1 β 6) / 6 β 3 β (-15 β 6)/18 β -21/18 β -7/6
Question 5: Add 4/9 + 7/12.
Solution :
We are using this formula, a/b + c/d = (a βd + c β b ) / b β d
Putting the values of a, b,c and d in the formula
4/12 + 7/12 = (4 β 12 + 7β 9 ) / 9 β 12 β (48+63) / 108 β 111/108
β 37/36
βQuestion 6: Subtract 5/8 β 1/2.
Solution :
We are using this formula , a/b β c/d = (a βd β c β b ) / b β d
Putting the values of a, b,c and d in the formula
5/8 β 1/2 = ( 5 β 2 β 1 β 8) / 8 β 2 β (10-8)/16 β 1 /8
Question 7: Add -2/3 + 5.
Solution :
We are using this formula, a/b + c = (a + c β b ) / b
Putting the values of a, b,c and d in the formula
-2/3 + 5 = (-2 + 5β 3 ) / 3 β (-2 + 15) / 3 β 13/3
Question 8: Subtract 9 β 2/5.
Solution :
We are using this formula , a- c/d = (a βd β c ) / d
Putting the values of a, b,c and d in the formula
9 β 2/5 = ( 9 β 5 β 2 ) / 5 β (45 β 20)/50 β 25/5
β 5
Question 9: Add 3/7 + 4/9.
Solution :
We are using this formula, a/b + c/d = (a βd + c β b ) / b β d
Putting the values of a, b,c and d in the formula
3/7 + 4/9 = (3 β 9 + 4 β 7) / 7 β 9 β (27 + 28) / 63 β 55/63
Question 10: Subtract -3/8 β 5/8.
Solution :
We are using this formula , a/b β c/b = (a β c ) / b
Putting the values of a, b,c and d in the formula
-3/8 β 5/8 = ( -3 β 5 ) / 8 β -8/8
β -1
Practice Questions on Addition and Subtraction of Rational Numbers
Rational numbers are part of basic curriculum mathematical lessons and are used as a base and starting point for various complicated mathematical operations. Since the addition and subtraction of rational numbers form a strong foundation for learners, learners must master it.
In this article, we will explain rational numbers along with some examples and practice questions based on the addition and subtraction of rational numbers.