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Mathematics

The addition of two rational number ab\dfrac{a}{b} and cd\dfrac{c}{d} is commutative, if

  1. ab+cd\dfrac{a}{b} + \dfrac{c}{d} is rational number

  2. a+cb+d\dfrac{a+c}{b +d} is a rational number.

  3. ab+cd\dfrac{a}{b} + \dfrac{c}{d} = cd+ab\dfrac{c}{d} + \dfrac{a}{b}

  4. abcd\dfrac{a}{b} - \dfrac{c}{d} = cdab\dfrac{c}{d} - \dfrac{a}{b}

Rational Numbers

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Answer

The addition of two rational number ab\dfrac{a}{b} and cd\dfrac{c}{d} is commutative, if ab+cd\dfrac{a}{b} + \dfrac{c}{d} = cd+ab\dfrac{c}{d} + \dfrac{a}{b}

Hence, Option 3 is the correct option.

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