4-5/6+4/3
You asked:
Evaluate the expression: \(4 - \frac{5}{6} + \frac{4}{3}\)
MathBot Answer:
\[ 4 - \frac{5}{6} + \frac{4}{3} = \frac{9}{2} = 4.5 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{1}\), \(\frac{-5}{6}\), and \(\frac{4}{3}\) is \(6\). \[ \begin{aligned} 4 - \frac{5}{6} + \frac{4}{3} &= \frac{4 \cdot 6}{1 \cdot 6} + \frac{-5 \cdot 1}{6 \cdot 1} + \frac{4 \cdot 2}{3 \cdot 2} \\ &= \frac{24 + -5 + 8}{6} \\ &= \frac{27}{6} \\&= \frac{9}{2} \end{aligned} \]