Alex opens a 1- pint container of orange butter. He spreads 1/16 of the butter on his bread. Then he divides the rest of the butter into 3/4- pint containers. How many 3/4- pint containers is he able to fill?

Jul 3, 2018

$\frac{5}{4}$ pint containers..

Explanation:

Lets break it down to a more comprehensible solution..

Alex opens a 1- pint container of orange butter.

$1$ pint container

He spreads $\frac{1}{16}$ of the butter on his bread

$1 - \frac{1}{16}$

$\frac{1}{1} - \frac{1}{16}$

$\frac{16 - 5}{16} \to \text{taking LCM}$

$\frac{15}{16}$ remaining

Then he divides the rest of the butter into $\frac{3}{4}$ pint containers

$\frac{15}{16} \div \frac{3}{4}$

$\frac{15}{16} \times \frac{4}{3}$

${\cancel{15}}^{5} / {\cancel{16}}_{4} \times {\cancel{4}}^{1} / {\cancel{3}}_{1}$

$\frac{5}{4}$

How many $\frac{3}{4}$ pint containers is he able to fill?

He is able to fill, $\frac{5}{4}$ pint containers, since the rest was divided by $\frac{3}{4}$ to give $\frac{5}{4}$ pint containers..