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Question

Write the multiplicative inverse :

214


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Solution

Step 1 First convert mixed number into improper fraction

214 =2×4+14=94

Step 2 To get the multiplicative inverse of a fractional number , write the numerator and denominator of the fraction as the denominator and numerator respectively

94 here numerator is 9 and denominator is 4

Now denominator is 9 and numerator is 4

Therefore, the multiplicative inverse of 214 is 49


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