To solve the equation \( \frac{5}{3} - 2x = \frac{1}{6} \), follow these steps:
- Start by isolating \( -2x \):
\[ -2x = \frac{1}{6} - \frac{5}{3} \]
- Convert \( \frac{5}{3} \) to have a common denominator with \( \frac{1}{6} \). The common denominator for 3 and 6 is 6, so:
\[ \frac{5}{3} = \frac{5 \times 2}{3 \times 2} = \frac{10}{6} \]
- Now we can substitute this back into the equation:
\[ -2x = \frac{1}{6} - \frac{10}{6} \]
- Simplify the right side:
\[ -2x = \frac{1 - 10}{6} = \frac{-9}{6} \]
- Simplifying further:
\[ -2x = -\frac{3}{2} \]
- Now, divide both sides by -2 to solve for \( x \):
\[ x = \frac{-\frac{3}{2}}{-2} = \frac{3}{4} \]
Thus, the solution is:
\[ \frac{3}{4} \]
So the correct response is:
3/4 (Start Fraction 3 over 4 End Fraction)