Question

Find the reciprocal of 1 1/11. Find the reciprocal of 11/12.

Answer 1

the reciprocal is pretty much just the same fraction upside-down.

let's first convert the first one from mixed to "improper" and get the reciprocal.


`\bf \stackrel{mixed}{1(1)/(11)}\implies \cfrac{1\cdot 11+1}{11}\implies \stackrel{improper}{\cfrac{12}{11}}\qquad reciprocal\implies \cfrac{11}{12} \\\\\\ \cfrac{11}{12}\qquad reciprocal\implies \cfrac{12}{11}`