Question

In a certain? city, the record rainfall during an 12 hour period is 11 2/3 inches how much rain fell per hour on average

Answer 1

namely, how many times does 12 go into 11⅔.

let's firstly convert the mixed fraction to improper fraction, and then divide.

$\bf \stackrel{mixed}{11\frac{2}{3}}\implies \cfrac{11\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{35}{3}} \\\\\\ \cfrac{35}{3}\div 12\implies \cfrac{35}{3}\div \cfrac{12}{1}\implies \cfrac{35}{3}\cdot \cfrac{1}{12}\implies \cfrac{35}{36}$