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

Addition of Positive Rational Numbers with Same 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 advice 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 denominator is same

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

  • Positive Numerator i.e. 2 and 5
  • Positive Denominator i.e. 3
  • Same Denominator i.e. 3

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

    Positive Rational Numbers with Negative Numerator and Denominator; whose denominator is same:

    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 like fractions

    Example 2: Add -1/-10, -5/-10
    Solution: Denominators of given rational numbers are negative, so convert them to standard form and we get:
    1/10, 5/10
    How to convert into standard form ?

    Now, you can observe that both rational numbers have:

  • Positive Numerator i.e. 1 and 5
  • Positive Denominator i.e. 10
  • Same Denominator i.e. 10

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


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