Question

maria caught shrimp that weighed 4 2/3 pounds. if she gave 3 1/6 pounds to her friends, how much shrimp did she have left?

Answer 1

We must substract 3 1/6 of 4 2/3. However, we must convert these fractions in

mixed form to simple fraction:

`3(1)/(6)=(6\cdot3+1)/(6)=(19)/(6)`

and

`4(2)/(3)=(3\cdot4+2)/(3)=(14)/(3)`

hence,

`4(2)/(3)-3(1)/(6)=(14)/(3)-(19)/(6)`

therefore,

`\begin{gathered} (14)/(3)-(19)/(6)=(6\cdot14-3\cdot19)/(3\cdot6) \\ (14)/(3)-(19)/(6)=(84-57)/(18) \\ (14)/(3)-(19)/(6)=(27)/(18) \\ (14)/(3)-(19)/(6)=(3)/(2) \end{gathered}`

Maria has 3/2=1.5 left over