Question

Calculate and write the reciprocal of your answer
1/81 of the product of 7 2/7 and 1 4/17

Answer 1

9

Explanation:

You want the reciprocal of (1/81)·((7 2/7)·(1 4/17)).

Calculator

A calculator easily provides the answer to this: 9.

Working

`(1)/(81)*7(2)/(7)*1(4)/(17)=((49+2)(17+4))/(81(7)(17))\\\\=((3\cdot17)(3\cdot7))/(3^4\cdot7\cdot17)=(1)/(9)`

The reciprocal of this product is 9.