To solve the equation \( \frac{1}{4}x + \frac{2}{3} = 1 \), follow these steps:
1. First, isolate the term with \( x \) by subtracting \( \frac{2}{3} \) from both sides of the equation:
\[
\frac{1}{4}x = 1 - \frac{2}{3}
\]
2. Find a common denominator to subtract the fractions on the right-hand side. The common denominator of 1 and \( \frac{2}{3} \) is 3:
\[
1 = \frac{3}{3}
\]
So the equation now becomes:
\[
\frac{1}{4}x = \frac{3}{3} - \frac{2}{3}
\]
\[
\frac{1}{4}x = \frac{1}{3}
\]
3. To isolate \( x \), multiply both sides of the equation by 4:
\[
x = 4 \times \frac{1}{3}
\]
\[
x = \frac{4}{3}
\]
4. Simplify \( \frac{4}{3} \):
\[
x = 1 \frac{1}{3}
\]
So, the correct answer is:
D. \( 1\frac{1}{3} \)
1/4x+2/3=1
A. 6⅔
B. 1
C. 1½
D. 1⅓
1 answer