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What is the reciprocal of 3 over 5 as a fraction?
The reciprocal of a fraction is obtained by flipping the numerator and denominator. Therefore, the reciprocal of 3/5 is 5/3. This means that if you multiply 3/5 by its reciprocal 5/3, the result is 1, as the two fractions are multiplicative inverses of each other.
Why do you take the reciprocal of the second fraction when dividing?
Because division by a number (the second fraction) is the same as multiplication by its reciprocal.
Is the reciprocal of a fraction always a whole number?
No. The reciprocal of 3/4 is 4/3.
When you exchange the numerator and denominator of a fraction the new number is called what?
the reciprocal of the original fraction
What is the reciprocal of a negative fraction?
Answer: -a/b is a fraction, its reciprocal is -b/a Why: Let's look at what reciprocal does. Take a fraction like 1/3 and its reciprocal is 3 . That is 1/ (1/3) and if we multiply the number by its reciprocal we get one. So now take -1/3. The question is whether the reciprocal is 3 or -3. If we multiply - 1/3 by 3 we have -1 and if we multiply it by -3 we have 1. The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. So the answer is -3 and just as with positive fractions, we have the number multiplied by its reciprocal is 1
