Question

A ribbon is 12 3/8.Into how many 3/4 peices can it be cut?

Answer 1

namely how many times does 3/4 go into 12⅜?

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

$\bf \stackrel{mixed}{12\frac{3}{8}}\implies \cfrac{12\cdot 8+3}{8}\stackrel{improper}{\cfrac{99}{8}} \\\\\\ \cfrac{99}{8}\div \cfrac{3}{4}\implies \cfrac{99}{8}\cdot \cfrac{4}{3}\implies \cfrac{99}{3}\cdot \cfrac{4}{8}\implies 33\cdot \cfrac{1}{2}\implies \cfrac{33}{2}\implies 16\frac{1}{2}$