Question

Perform the fraction operation below by hand. You must show your work for full credit. Give the answer in fractional form reduced to lowest terms.4/3+2/5

Answer 1

Given:

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

The lowest common factor of the denominators, 3 and 5 is 15.

So

`\begin{gathered} (4*5)/(15)\text{ +}(2*3)/(15) \\ =(20)/(15)+(6)/(15) \\ =\text{ }(26)/(15) \\ =1(11)/(15) \end{gathered}`

Therefore,

`(4)/(3)+(2)/(5)\text{ = }(26)/(15)\text{ OR 1}(11)/(15)`