Subtraction of Positive Rational Numbers with Different Denominator at Algebra Den

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Home >> Numbers >> Real Numbers >> Rational Numbers >> Subtraction of Rational Numbers >> Positive Rational Numbers with Different Denominator >>

Subtraction of Positive Rational Numbers with Different 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 Positive Rational Numbers ?
How to convert Rational Number into Standard Form ?

Positive Rational Numbers are of two types:
Positive Rational Numbers with Positive Numerator and Denominator
Positive Rational Numbers with Negative Numerator and Denominator

Based on above classification, you will find the following two situations:

Subtraction of Positive Rational Numbers with Positive Numerator and Denominator; whose denominators are different.
Example 1: Subtract (3/6) from (5/4)

Addition of Positive Rational Numbers with Negative Numerator and Denominator; whose denominators are different.
Example 2: Subtract (-5/-9) from (-1/-7)

Situation 1: Subtraction of Positive Rational Numbers with Positive Numerator and Denominator; whose denominators are different.

Example 1: Subtract (3/6) from (5/4)
Solution: In the above example, you can observe that both rational numbers have:
Positive Numerator i.e. 3 and 5
Positive and different Denominator i.e. 6 and 4
Subtraction of such rational numbers is similar to subtraction of unlike fractions and you can read the details at
Subtraction of Unlike Fractions

Situation 2: Positive Rational Numbers with Negative Numerator and Denominator; whose denominators are different:

Steps of subtraction are as follows:
Step 1: Convert Rational Number into standard form because denominator is negative
Step 2: Follow the process of subtraction of unlike fractions

Example 2: Subtract (-5/-9) from (-1/-7)
Solution: Denominators of given rational numbers are negative, so convert them to standard form and we get:
=(5/9) from (1/7)

Now, can observe that both rational numbers have:
Positive Numerator i.e. 5 and 1
Positive and different Denominator i.e. 9 and 7

Subtraction of such rational numbers is similar to subtraction of unlike fractions and you can read the details at
Subtraction of Unlike Fractions