Question

What is the reciprocal of 5/6 ? How can you be sure it is the reciprocal?

Answer 1

Answer:

  6/5 is the reciprocal of 5/6

Step-by-step explanation:

The reciprocal of a number is its multiplicative inverse. That is, the product of the number and its reciprocal is 1, the multiplicative identity element.

For a fraction, the reciprocal is the fraction with numerator and denominator interchanged. That is, the reciprocal of 5/6 is 6/5.

You can check that this is the multiplicative inverse by multiplying it by 5/6:

  5/6 × 6/5 = (5×6)/(6×5) = 30/30 = 1 . . . . the multiplicative identity element