333+5-755/5680
You asked:
Evaluate the expression: \(333 + 5 - \frac{755}{5680}\)
MathBot Answer:
\[ 333 + 5 - \frac{755}{5680} = \frac{383817}{1136} = 337.8670\overline{77464788732394366197183098591549295} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{333}{1}\), \(\frac{5}{1}\), and \(\frac{-755}{5680}\) is \(5680\). \[ \begin{aligned} 333 + 5 - \frac{755}{5680} &= \frac{333 \cdot 5680}{1 \cdot 5680} + \frac{5 \cdot 5680}{1 \cdot 5680} + \frac{-755 \cdot 1}{5680 \cdot 1} \\ &= \frac{1891440 + 28400 + -755}{5680} \\ &= \frac{1919085}{5680} \\&= \frac{383817}{1136} \end{aligned} \]