1/4x+2/3=1

Answer 1

To solve the equation \( \frac{1}{4}x + \frac{2}{3} = 1 \), follow these steps:

1. **Subtract \(\frac{2}{3}\) from both sides to isolate the term with \(x\)**:
\[
\frac{1}{4}x = 1 - \frac{2}{3}
\]

2. **Find a common denominator to simplify the right-hand side**:
\[
1 = \frac{3}{3}
\]
So,
\[
1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{1}{3}
\]
Therefore,
\[
\frac{1}{4}x = \frac{1}{3}
\]

3. **Multiply both sides by 4 to solve for \(x\)**:
\[
x = 4 \times \frac{1}{3}
\]

4. **Simplify the right-hand side**:
\[
x = \frac{4}{3}
\]

The solution to the equation \( \frac{1}{4}x + \frac{2}{3} = 1 \) is \( x = \frac{4}{3} \).