Question

Hello I would like help with the third one that begins with 3 1/3-....

Answer 1

Consider the given expression,

`3(1)/(3)-((-4)/(5)+(2)/(3))`

First of all, convert the mixed fraction into standard form,

`\begin{gathered} =(3(3)+1)/(3)-((-4)/(5)+(2)/(3)) \\ =(9+1)/(3)-((-4)/(5)+(2)/(3)) \\ =(10)/(3)-((-4)/(5)+(2)/(3)) \end{gathered}`

Now, resolve the parenthesis,

`\begin{gathered} =(10)/(3)-((-4(3)+2(5))/(5\cdot3)) \\ =(10)/(3)-((-12+10)/(15)) \\ =(10)/(3)-((-2)/(15)) \\ =(10)/(3)+(2)/(15) \end{gathered}`

Now, simplify the last fraction,

`\begin{gathered} =(10)/(3)+(2)/(15) \\ =(10(5)+2(1))/(15) \\ =(50+2)/(15) \\ =(52)/(15) \end{gathered}`

Thus, the simplified fraction of the given expression is 52/15.