Q:

At the end of a party 5/6 cup of dip is left jim divides 6/7 of the left over dip between 3 friends

Accepted Solution

A:
Answer:[tex] \frac{5}{21} [/tex]Step-by-step explanation:From the question,the left cup of dip is [tex] \frac{5}{6} [/tex]Jim divides 6/7 cup of the left over ,5/6 dip between 3 friendsThis implies that,[tex](\frac{6}{7}\times \frac{5}{6})\div3[/tex]We first simplify what is in the bracket to obtain[tex] \frac{5}{7}\div 3[/tex]we now reciprocate 3 and change the division symbol to multiplicationThis implies that,[tex] \frac{5}{7}\times\frac{1}{3}= \frac{5\times1}{7\times 3}= \frac{5}{21} [/tex]Hence each friend of Jim receives 5/21 cup of the left over dip