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Another name for multiplicative inverse is reciprocal. Basically, you write the number as a fraction and you reverse the numerator and the denominator. In this case, the multiplicative inverse is 1/5340.
The multiplicative inverse means, what do I multiply my number by to get an answer of 1? ex: The multiplicative inverse of 5 is 1/5. 5 * (1/5) = 1 If your number is a fraction to begin with, flip it over. ex: The mult. inverse of 22/7 is 7/22 (22/7)*(7/22) = 1
The statement is true only for non-zero fractions and it follows from the definition of a multiplicative inverse.
The multiplicative inverse of a number is its reciprocal, meaning the multiplicative inverse of the rational number a/b is b/a. In the specialized case for integers, the multiplicative inverse of n is 1/n. This is due to the fact that a/b * b/a = 1 and n * 1/n = 1, which is the definition of a multiplicative inverse. More succinctly, to find the multiplicative inverse you "flip" the fraction or integer around to its reciprocal. This is the number that when multiplied with the original number results in a product of 1.
It means, "With what number must I multiply it, to get a product of 1?" For example, the multiplicative inverse of 4 is 0.25 (= 1/4), since 4 x 0.25 = 1. The multiplicative inverse of 5/17 is 17/5. In general, you can divide 1 by a number to get its multiplicative inverse; in the case of fractions, first convert the fraction to an improper fraction (if it is in the form of a mixed fraction), then simply exchange numerator and denominator.