Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) – \(\frac{1}{6}\)
- \(\frac{17}{30}\)
- \(\frac{65}{102}\)
- \(\frac{25}{34}\)
- \(\frac{102}{75}\)
-
\(\frac{34}{25}\)
The correct answer is: E
Explanation
\(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)
collect like terms
\(\frac{2}{5}\) + \(\frac{1}{6}\) = \(\frac{3}{4}x\) - \(\frac{1}{3}x\)
\(\frac{17}{30}\) = \(\frac{5x}{12}\)
cross multiply
150x = 204
x = \(\frac{204}{150}\) = \(\frac{34}{25}\)