If you are worried about How to Subtract Rational Numbers having the Same Denominator you have come the right way. To help you out we have given the Step by Step Process to follow while solving problems on Subtraction of Rational Numbers having the Common Denominator. Have a glance at the solved examples and better understand the concept.
How do you Subtract Rational Numbers with the Same Denominator?
Go through the easy guidelines listed to Subtract Rational Numbers with the Same Denominator. Following these steps, you will arrive at the solution easily. They are along the lines
Step 1: Firstly, obtain the numerators of given rational numbers along with the common denominator.
Step 2: Subtract the First Numerator from the Second One.
Step 3: Note down the Rational Number whose numerator is the difference of two given Rational Numbers in the earlier step and retain the common Denominator unchanged. Simplify the Rational Number Obtained if Required.
From the above-provided information, we can say that for two rational a/b and c/b having the common denominator b, a/b – c/b is equal to (a-c)/b.
Solved Examples on Subtraction of Rational Numbers with Common Denominator
1. Find the Difference Between 4/7 and 12/7?
Solution:
Given Rational Numbers are 4/7 and 12/7
Difference between Rational numbers = 12/7 -4/7
= (12-4)/7
= 8/7
Therefore 12/7-4/7 = 8/7.
2. Find the Difference between 3/4 and -5/4?
Solution:
Given Rational Numbers are 3/4, 5/4
=3/4-(-5/4)
= 8/4
=2/1
3. Subtract 2/17 from -6/17?
Solution:
Rational Numbers are 2/17, -6/17
= -6/17-2/17
= -8/17
4. Subtract Rational Number 5/3 from 17/3?
Solution:
Given Rational Numbers are 5/3 and 17/3
= 17/3-5/3
= 12/2
= 4/1
5. Find the Difference between 4/-5 and 2/5?
Solution:
Given Rational Numbers are 4/-5 and 2/5
Changing the Rational Number with negative Denominator to Positive Denominator we get
4/-5 = 4*(-1)/-5*(-1) = -4/5
= -4/5-2/5
= -6/5
6. Subtract Rational Number -2/3 from -4/3?
Solution:
Given Rational Numbers are -2/3 and -4/3
= -4/3-(-2/3)
= (-4+2)/3
= -2/3