Question

What value could be added to 2/15 to make the sum greater than 1/2?A. 1/15B. 8/30C. 5/15D. 8/15

Answer 1

In order to find the required fraction, you can write the following inequality:

`(2)/(15)+x>(1)/(2)`

Solve the previous inequality for x by subtracting 2/15 both sides and simplifying:

`\begin{gathered} x>(1)/(2)-(2)/(15) \\ x>(15-4)/(30) \\ x>(11)/(30) \end{gathered}`

Then, you hava that x must be greater than 11/30.

You can notice that from the given choices, 8/15 is the only number that is greater than 11/30 (you can check it by subtracting 11/30 to 8/15, you'll get a positive number).

Hence, 8/15 is the value you can add to 2/15 to get a greater number than 1/2