Simplify \(\frac{2x-1}{3}-\frac{x+3}{2}\)
Question 1 Report
Simplify \(\frac{2x-1}{3}-\frac{x+3}{2}\)
Answer Details
To subtract two fractions, they need to have a common denominator.
The common denominator of 3 and 2 is 6, so we can write:
\begin{align*}
\frac{2x-1}{3}-\frac{x+3}{2} &= \frac{2(2x-1)}{2 \cdot 3}-\frac{3(x+3)}{3 \cdot 2} \\
&= \frac{4x-2}{6}-\frac{3x+9}{6} \\
&= \frac{4x-3x-2-9}{6} \\
&= \frac{x-11}{6}
\end{align*}
Therefore, the answer is \(\frac{x-11}{6}\).
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning