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Mathematics

Write the multiplicative inverse of :

(i) 56\dfrac{5}{6}

(ii) 37\dfrac{-3}{7}

(iii) -8

(iv) 113\dfrac{-11}{3}

(v) 18\dfrac{-1}{8}

Rational Numbers

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Answer

(i) 56\dfrac{5}{6}

Since, 56\dfrac{5}{6} x 65\dfrac{6}{5} = 1

∴ The multiplicative inverse of 56\dfrac{5}{6} is 65\dfrac{6}{5}.

(ii) 37\dfrac{-3}{7}

Since, 37\dfrac{-3}{7} x 73\dfrac{-7}{3} = 1

∴ The multiplicative inverse of 37\dfrac{-3}{7} is 73\dfrac{-7}{3}.

(iii) -8

Express -8 as 81\dfrac{-8}{1}

Since, 81\dfrac{-8}{1} x 18\dfrac{-1}{8} = 1

∴ The multiplicative inverse of 81\dfrac{-8}{1} is 18\dfrac{-1}{8}.

(iv) 113\dfrac{-11}{3}

Since, 113\dfrac{-11}{3} x 311\dfrac{-3}{11} = 1

∴ The multiplicative inverse of 113\dfrac{-11}{3} is 311\dfrac{-3}{11}.

(v) 18\dfrac{-1}{8}

Since, 18\dfrac{-1}{8} x 81\dfrac{-8}{1} = 1

∴ The multiplicative inverse of 18\dfrac{-1}{8} is -8.

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