Question

What is 3 1/6 + 5 2/3

Answer 1

The given expression is

`3(1)/(6)+5(2)/(3)`

First, we transform each mixed number into a fraction

`\begin{gathered} 3(1)/(6)=(3\cdot6+1)/(6)=(18+1)/(6)=(19)/(6) \\ 5(2)/(3)=(5\cdot3+2)/(3)=(15+2)/(3)=(17)/(3) \end{gathered}`

We use these fractions to make the sum

`(19)/(6)+(17)/(3)`

Now, we use the following property

`(a)/(b)+(c)/(d)=(a\cdot d+b\cdot c)/(b\cdot d)`
`(19\cdot3+17\cdot6)/(6\cdot3)=(57+102)/(16)=(159)/(16)`

Hence, the result is 159/16.