Question

Add and simplify.
x/2+x/5+x/3

Answer 1

Answer: Third option.

Explanation:

By definition, fractions have the following form:

`(a)/(b)`

Where "a" is the Numerator and "b" is the Denominator. Both are Integers and
`b\\eq 0`

Given the following expression provided in the exercise:

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

You can notice that the denominators of the fractions are different.

Therefore, in order to add the fractions, you can follow the steps shown below:

Step 1. You must find the Least Common Denominator. Since 2, 5 and 3 are Prime numbers, this is:

`LCD=2*5*3\\\\LCD=30`

Step 2. Now you have to divide each original denominator by the LCD and multiply the corresponding numerators by that quotient:

`=(15x+6x+10x)/(30)`

Step 3. And finally you must solve the addition, getting the following result:

`=(31x)/(30)`