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

Addition of Positive Rational Numbers with Different Denominator

Positive Rational Numbers with Same Denominator Positive Rational Numbers with Different Denominator Negative Rational Numbers with Same Denominator Negative Rational Numbers 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 ?

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

    Positive Rational Numbers with Positive Numerator and Denominator; whose denominators are different

    Example 1: Add 2/7, 3/5
    Solution: In the above example, you can observe that both rational numbers have:

  • Positive Numerator i.e. 2 and 3
  • Positive and different Denominator i.e. 7 and 5

    Addition of such rational numbers is similar to addition of unlike fractions and you can read the details at
    Addition of unlike fractions

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

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

    Example 2: Add -1/-7, -5/-9
    Solution: Denominators of given rational numbers are negative, so convert them to standard form and we get:
    1/7, 5/9
    How to convert into standard form ?

    Now, you can observe that both rational numbers have:

  • Positive Numerator i.e. 1 and 5
  • Positive and different Denominator i.e. 7 and 10

    Addition of such rational numbers is similar to addition of unlike fractions and you can read the details at
    Addition of unlike fractions


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