Because by definition division , by a non-zero number is the inverse operation to multiplication.
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When the numbers within a fraction are reversed, this is called a reciprocal. A reciprocal is useful when dividing fractions - dividing by a fraction is the same as multiplying by its reciprocal.For example, 4 / 2/3 = 4 x 3/2 = 6.
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, 1/2 / 1/4 = 1/2 x 4 = 2.
The answer is 1.Reciprocal is the quantity obtained by dividing the number one by a given quantity. The reciprocal of x is 1/X. The only positive integer that is itself when divided into 1 is 1.
It the signs of the two numbers that you are multiplying or dividing is the same, then the answer is positive, otherwise the answer is negative. Remember though, that division by 0 is not defined.