Question

4 1/2 = 2 + x Thank you

Answer 1

The solution to the equation
`\(4 (1)/(2) = 2 + x\) is \(x = (5)/(2)\).`

To solve the equation
`\(4 (1)/(2) = 2 + x\),` you can start by converting the mixed number
`\(4 (1)/(2)\)` to an improper fraction.

`\(4 (1)/(2) = (9)/(2)\)`

Now, substitute this value back into the equation:

`\((9)/(2) = 2 + x\)`

To isolate \(x\), you can subtract 2 from both sides of the equation:

`\((9)/(2) - 2 = x\)`

To subtract the fractions, find a common denominator, which in this case is 2:

`\((9)/(2) - (4)/(2) = x\)`

Now, subtract the numerators and keep the common denominator:

`\((5)/(2) = x\)`

So, the solution to the equation
`\(4 (1)/(2) = 2 + x\) is \(x = (5)/(2)\).`