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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.
Why do you need a reciprocal when you divide a fraction?
You do not need it! Sometimes it is simpler to multiply by a number's reciprocal than to divide by it but that is not always the case.
How do you find the reciprocal of a whole number and a fraction?
Number x Reciprocal = 1 Therefore Reciprocal = 1/Number
The reciprocal of a number?
The reciprocal of a number is the number backwards in fraction form. For example, the reciprocal of 25 would be 1/25. The reciprocal of 5/10 would be 10/5.
How do you divide a negative number by a positive fraction?
You multiply the negative number by the reciprocal of the fraction.
