Solve the Fraction Equation: Finding X in (2/3)x + 1/4 = 3/4

We want to isolate the term with x by getting rid of constants. Subtracting $\frac{1}{4}$ from both sides removes it from the left side, leaving just $\frac{2}{3}x$.

Dividing by a fraction is the same as multiplying by its reciprocal. So $\div \frac{2}{3}$ becomes $\times \frac{3}{2}$. Flip the fraction and multiply!

When denominators are the same, just subtract the numerators and keep the denominator: $\frac{3}{4} - \frac{1}{4} = \frac{3-1}{4} = \frac{2}{4} = \frac{1}{2}$.

Substitute $x = \frac{3}{4}$ back into the original equation: $\frac{2}{3} \times \frac{3}{4} + \frac{1}{4} = \frac{6}{12} + \frac{3}{12} = \frac{9}{12} = \frac{3}{4}$ ✓

Yes, but fractions are often more precise for this type of problem. Converting $\frac{2}{3}$ to 0.667 creates rounding errors that make checking harder.