Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of juice did each friend get?
Accepted Solution
A:
Answer:[tex]\dfrac{1}{16}[/tex][tex]\dfrac{1}{32}[/tex][tex]\dfrac{3}{32}[/tex]Step-by-step explanation:So in the first carton of orange juice 4 friends shared the juice.This can be shown as:[tex]\dfrac{(\dfrac{1}{2})}{4}[/tex][tex]\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{16}[/tex]The 4 friends got 1/16 of the carton each in the first carton of OJ.Next for the second carton, it can be shown as:[tex]\dfrac{(\dfrac{1}{4})}{4}[/tex][tex]\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{32}[/tex]The 4 friends got 1/32 of the carton each in the first carton of OJ.Now to see how much they got in total each, we simply add 1/16 to 1/32[tex]Total OJ each = \dfrac{1}{16}+\dfrac{1}{32}[/tex][tex]Total OJ each = \dfrac{3}{32}[/tex]Each friend got a total of [tex]\dfrac{3}{32}[/tex] each from both cartons of OJ.