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What number can be multiplied by a fraction and get a result of 1?
The number that can be multiplied by a fraction to get a result of 1 is the reciprocal of the fraction. Apart from zero, all real numbers have reciprocals.
What happens when you multiply a fraction by its reciprocal?
You end up with 1.
What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
What is a recprocal?
The reciprocal of a number is 1 divided by that number. A number multiplied by its reciprocal is equal to 1. In the case of a fraction, to get the reciprocal, simply exchange numerator and denominator. Thus, the reciprocal of 5/3 is 3/5.
What is the reciprocal of five over 4?
The reciprocal of a number is simply 1 divide by that number. A number, multiplied by its reciprocal, is equal to one.However, in the case of fractions, you can get the reciprocal simply by exchanging top and bottom. In this case, the reciprocal of 5/4 is 4/5. This works for proper and improper fractions; in the case of a mixed fraction, you have to convert that into an improper fraction first.
