Question

X over 6 space equals space 10 over 12 ; x

Answer 1

`x = 5`

Explanation:

Step 1: Convert to an expression

x over 6 equals 10 over 12

`(x)/(6)=(10)/(12)`

Step 2: Cross multiply

`(x * 12) = (6 * 10)`

`12x = 60`

Step 3: Divide both sides by 12

`(12x)/(12) = (60)/(12)`

`x = 5`

Answer:
`x = 5`

Answer 2

Let's break this problem down in a few steps

• x over 6 ⇒ x divided by 6 ⇒
  `(x)/(6)`
• 10 over 12 ⇒ 10 divided by 12 =
  `(10)/(12)=(2*5)/(2*6) =(5)/(6)`

Since these two fractions are equal to each other, let's solve for x

`(x)/(6)=(5)/(6) \\6x=30\\x = 5`

Thus x = 5

Hope that helps!