Subtraction of Negative Rational Number with Same Denominator

Positive Rational Numbers with Same Denominator	Positive Rational Numbers with Different Denominator	Negative Rational Number with Same Denominator	Negative Rational Number with Different Denominator	Positive & Negative Rational Numbers with Same Denominator
Positive & Negative Rational Numbers with Different Denominator

Before you understand this topic, you are adviced to read: What are Negative Rational Numbers ? How to subtract Integers ? How to convert rational number into standard form ? Negative Rational Number is of two types: Rational Number with Negative Numerator Rational Number with Negative Denominator Based on above classification, you will find the following three situations: Subtraction of Negative Rational Numbers having Negative Numerator and whose denominators are same. Example 1: Subtract (-5/10) from (-1/10) Subtraction of Negative Rational Numbers having Negative Denominator and whose denominators are same. Example 2: subtract (2/-15) from (10/-15) Subtraction of Negative Rational Numbers having same denominators, where one rational number have negative numerator and other have negative denominator Example 3: Subtract (6/-8) from (-7/8) Situation 1: Subtraction of Negative Rational Numbers having Negative Numerator and whose denominators are same. Steps of subtraction under this situation are: Step 1: Since the denominators are same; so we keep the denominator same (i.e. common denominator) Step 2: Do subtraction of the numerators. The numerators are negative integers, so we do subtraction as we do subtraction of integers. Example 1: Subtract (-5/10) from (-1/10) Solution: Subtract (-5/10) from (-1/10) and we get: -1 10 - -5 10 Since the denominators are same; so we keep the denominator same (i.e. common denominator) as shown below: (-1) - (5)        10 Solve numerators as we do subtraction of integers and we get: 4 10 Divide both numerator and denominator by 2 and convert the resultant rational number into standard form. So we get: 2 5 Hence, -1 10 - -5 10 = 2 5 Situation 2: Subtraction of Negative Rational Numbers having Negative Denominator and whose denominators are same. Steps of subtraction under this situation are: Step 1: Since the denominators are negative, so firstly we convert the given rational numbers in standard form. Step 2: Also since the denominators are same; so we keep the denominator same (i.e. common denominator) Step 3: Do subtraction of the numerators. The numerators are negative integers, so we do subtraction as we do subtraction of integers. Example 2: subtract (2/-15) from (10/-15) Solution: Since the denominators are negative, so firstly we convert the given rational numbers in standard form and we get: = (-2/15) and (-10/15) Subtract (-2/15) from (-10/15) and we get: -2 15 - -10 15 Since the denominators are same; so we keep the denominator same (i.e. common denominator) as shown below: (-10) - (-2)        15 Solve numerators as we do subtraction of integers and we get: -8 15 Situation 3: Subtraction of Negative Rational Numbers having same denominators, where one rational number have negative numerator and other have negative denominator Steps of subtraction under this situation are: Step 1: Convert the rational numbers in standard form having negative denominator Step 2: Also since the denominators are same; so we keep the denominator same (i.e. common denominator) Step 3: Do subtraction of the numerators. The numerators are negative integers, so we do subtraction as we do subtraction of integers. Example 3: Subtract (6/-8) from (-7/8) Solution: Convert the rational numbers) in standard form and we get: -7 8 , -6 8 Subtract (-6/8) from (-7/8) and we get: -7 8 - -6 8 Since the denominators are same; so we keep the denominator same (i.e. common denominator) as shown below: (-7) - (-6)        8 Solve numerators as we do subtraction of integers and we get: -1 8 Hence, -7 8 , -6 8 = -1 8