Question

The recipical for 2 4/9

Answer 1

reciprocal is simply the same thing upside-down, let's firstly convert it to an improper fraction.

`\stackrel{mixed}{2(4)/(9)}\implies \cfrac{2\cdot 9+4}{9}\implies \stackrel{improper}{\cfrac{22}{9}}\hspace{9em}\stackrel{ reciprocal }{\cfrac{9}{22}}`