Question

Can ! tutor give me fraction equations I want to practice fractions. :)

Answer 1

Let's solve the following equation

`(2x)/(8)-(3x)/(4)=(1)/(2)`

First, we find the least common factor between the denominators.

8 4 | 2

4 2 | 2

2 1 | 2

1

So, the least common factor would be the product 2x2x2 = 8.

Now, we use the least common factor to subtract the fractions, where the new denominator is 8.

`(2x-6x)/(8)=(1)/(2)`

Then, we solve for x

`\begin{gathered} -(4x)/(8)=(1)/(2) \\ -4x=(1)/(2)\cdot8 \\ -4x=4 \\ x=(4)/(-4) \\ x=-1 \end{gathered}`

Hence, the solution to this equation would be x = -1.