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Mathematics

Express 78117\dfrac{78}{-117} as a rational number with numerator

(i) -6

(ii) 2

Rational Numbers

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Answer

(i) -6

We know that 78 ÷ (-13) = -6.

So, we divide the numerator and the denominator of the given number by -13:

78117=78÷(13)117÷(13)=69\dfrac{78}{-117} = \dfrac{78 \div (-13)}{-117 \div (-13)} = \dfrac{-6}{9}

∴ The rational number with numerator 6-6 is 69\dfrac{-6}{9}.

(ii) 2

We know that 78 ÷ 39 = 2.

So, we divide the numerator and the denominator of the given number by 39:

78117=78÷39117÷39=23\dfrac{78}{-117} = \dfrac{78 \div 39}{-117 \div 39} = \dfrac{2}{-3}

∴ The rational number with numerator 22 is 23\dfrac{2}{-3}.

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