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

User Pyttroll
by
6.9k points

2 Answers

4 votes

Answer:

Exact form:

x = 3/2

decimal form:

x = 1.5

mixed number form:

x = 1

1/2

Explanation:

User Felixthehat
by
7.0k points
5 votes

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)}

User Nurisezgin
by
6.5k points