Question

Can anybody help me?

Answer 1

The correct answer is last option

x = 10

Explanation:

It is given n expression ,

x/5 - x/6 = 1/3

To solve the equation

Let x/5 - x/6 = 1/3 ----(1)

The LCM = 30

(1) ⇒ 6x/30 - 5x/30 = 1/3

x/30 = 1/3

x = 30/3 = 10

Therefore x = 10

The correct answer is last option

Answer 2

x = 10

Explanation:

In order to subtract two fractions they have to be on the same denominator. So, the first thing to do is to put the fractions over a common denominator, we'll go for 30 since it's a multiple of both 3, 5 and 6.

`((x)/(5) * (6)/(6)) - ((x)/(6) * (5)/(5)) = (1)/(3) * (10)/(10)`

so...

`(6x)/(30) - (5x)/(30) = (10)/(30)`

`(x)/(30) = (10)/(30)`

So, x = 10