Alex opens a 1-pint container of orange butter. He spreads 1/16 of the butter of 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?
he spreads 1/16 of the butter on bread....leaving 15/16 butter.
He divided the rest of the butter into 3/4 pint containers
(15/16) / (3/4) =
15/16 * 4/3 =
60/48 reduces to 15/12 or 1 1/4 <===
Answer:
\(1\frac{1}{4}\)
Step-by-step explanation:
We have been given that Alex spreads 1/16 of the butter of his bread.
Let us find amount of butter left by subtracting 1/16 from 1 as:
\(\text{Amount of butter left}=1-\frac{1}{16}\)
Make a common denominator:
\(\text{Amount of butter left}=\frac{16}{16}-\frac{1}{16}\)
\(\text{Amount of butter left}=\frac{16-1}{16}\)
\(\text{Amount of butter left}=\frac{15}{16}\)
We are also told that Alex divides the rest of the butter into 3/4 pint containers.
Let us divide \(\frac{15}{16}\) by \(\frac{3}{4}\) as:
\(\frac{15}{16}\div\frac{3}{4}\)
Convert into multiplication problem by flipping the 2nd fraction:
\(\frac{15}{16}\times\frac{4}{3}\)
\(\frac{5}{4}\times\frac{1}{1}\)
\(\frac{5}{4}\)
\(1\frac{1}{4}\)
Therefore, Alex can fill \(1\frac{1}{4}\) containers.