Question

Select the correct solution for the expression2 35+8locΟ Α.3OTIN+o loc=513coloO15В.1640+SIG=3140

Answer 1

Given the expression:

`(2)/(5)+(3)/(8)`

You can observe that the fractions have different denominators.

In order to add them, you can follow these steps:

1. Knowing that:

`5\cdot8=40`

You can multiply the numerator and the denominator of the first fraction by 8, and multiply the numerator and the denominator of the second fraction by 5, in order to both fractions have the same denominator:

`\begin{gathered} =(2\cdot8)/(5\cdot8)+(3\cdot5)/(8\cdot5) \\ \\ =(16)/(40)+(15)/(40) \end{gathered}`

2. Now you have to add the numerators (use the same denominator):

`\begin{gathered} =(16+15)/(40) \\ \\ =(31)/(40) \end{gathered}`

Notice that it cannot be reduced.

Hence, the answer is: Option B.