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Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
Is taking ½ of a number is the same as dividing by ½?
No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
Is multiplying a number by 2 is the same as halving that number?
no, dividing a number is halving it, multiplying iy by 2 is doubling it
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction the fraction by 1?
Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.
Why does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
Why is dividing by a number the same as multiplying by its reciprocal?
That is the definition of reciprocal.
Is dividing a number by 2 the same as multiplying it by half?
Yes, it is!:)
Is dividing by 100 the same as multiplying by 0.1?
10
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction by 1?
because of mathematical equivalence: it doesn't change the result
Why do you have to switch the numerator and denominator when dividing fractions?
This is because dividing by a number is the same as multiplying by its reciprocal.
What is the inverse operation of dividing by 12?
Dividing by twelve is the same thing as multiplying by 1/12. Thus, multiplying a number by 12/1, or twelve, is the opposite (inverse) of dividing a number by twelve.
