706/2018+ 656/1009

asked by guest
on Nov 16, 2024 at 12:52 am



You asked:

Evaluate the expression: \(\frac{706}{2018} + \frac{656}{1009}\)

MathBot Answer:

\[ \frac{706}{2018} + \frac{656}{1009} = 1 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{706}{2018}\) and \(\frac{656}{1009}\) is \(2018\). \[ \begin{aligned} \frac{706}{2018} + \frac{656}{1009} &= \frac{706 \cdot 1}{2018 \cdot 1} + \frac{656 \cdot 2}{1009 \cdot 2} \\ &= \frac{706 + 1312}{2018} \\ &= \frac{2018}{2018} \\&= 1 \end{aligned} \]