19 (4)/(7) + 26 (4)/(5)i need help solving this problem

Question

`19 (4)/(7) + 26 (4)/(5)`i need help solving this problem

Answer 1

We are going to add fractions.

`19(4)/(7)+26(4)/(5)`

First, let's convert them to improper fractions:

`19(4)/(7)=((19\cdot7)+4)/(7)=(133+4)/(7)=(137)/(7)`

and

`26(4)/(5)=((26\cdot5)+4)/(5)=(130+4)/(5)=(134)/(5)`

Now, we have:

`(137)/(7)+(134)/(5)`

We can take common denominator and add after that. The process is shown below:

`\begin{gathered} (137)/(7)((5)/(5))+(134)/(5)((7)/(7)) \\ =(685)/(35)+(938)/(35) \\ =(685+938)/(35) \\ =(1623)/(35) \end{gathered}`

Thus, the sum is:

`(1623)/(35)`