Question

3x=4 1/2 I need help to solve for x

Answer 1

Exact form:

x = 3/2

decimal form:

x = 1.5

mixed number form:

x = 1

1/2

Explanation:

Answer 2

We need to solve the equation:

`3x=4(1)/(2)`

First, notice that the mixed number 4 1/2 can be written as:

`4(1)/(2)=4+(1)/(2)`

Now, we can solve the equation for x by dividing both sides of the equation by 3. We obtain:

`\begin{gathered} (3x)/(3)=(\mleft(4+(1)/(2)\mright))/(3) \\ \\ x=\mleft(4+(1)/(2)\mright)\cdot(1)/(3) \\ \\ x=4\cdot(1)/(3)+(1)/(2)\cdot(1)/(3) \\ \\ x=(4)/(3)+(1)/(6) \\ \\ x=(8)/(6)+(1)/(6) \\ \\ x=(9)/(6) \\ \\ x=(3)/(2) \\ \\ x=1(1)/(2) \end{gathered}`

Therefore, the solution is:

`\mathbf{x=1(1)/(2)}`