Question

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

Answer 1

Let's solve the following equation

$\frac{2x}{8}-\frac{3x}{4}=\frac{1}{2}$

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.

$\frac{2x-6x}{8}=\frac{1}{2}$

Then, we solve for x

$\begin{gathered} -\frac{4x}{8}=\frac{1}{2} \\ -4x=\frac{1}{2}\cdot8 \\ -4x=4 \\ x=\frac{4}{-4} \\ x=-1 \end{gathered}$

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