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 Link

ApusApus ApusApus · Answer 2 · 2019-10-16T05:23:12+02:00

Answer:

[tex]1\frac{1}{4}[/tex]

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:

[tex]\text{Amount of butter left}=1-\frac{1}{16}[/tex]

Make a common denominator:

[tex]\text{Amount of butter left}=\frac{16}{16}-\frac{1}{16}[/tex]

[tex]\text{Amount of butter left}=\frac{16-1}{16}[/tex]

[tex]\text{Amount of butter left}=\frac{15}{16}[/tex]

We are also told that Alex divides the rest of the butter into 3/4 pint containers.

Let us divide [tex]\frac{15}{16}[/tex] by [tex]\frac{3}{4}[/tex] as:

[tex]\frac{15}{16}\div\frac{3}{4}[/tex]

Convert into multiplication problem by flipping the 2nd fraction:

[tex]\frac{15}{16}\times\frac{4}{3}[/tex]

[tex]\frac{5}{4}\times\frac{1}{1}[/tex]

[tex]\frac{5}{4}[/tex]

[tex]1\frac{1}{4}[/tex]

Therefore, Alex can fill [tex]1\frac{1}{4}[/tex] containers.