17/5 + 21/11

asked by guest
on Oct 28, 2024 at 12:32 pm



You asked:

Evaluate the expression: \(\frac{17}{5} + \frac{21}{11}\)

MathBot Answer:

\[ \frac{17}{5} + \frac{21}{11} = \frac{292}{55} = 5.3\overline{09} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{17}{5}\) and \(\frac{21}{11}\) is \(55\). \[ \begin{aligned} \frac{17}{5} + \frac{21}{11} &= \frac{17 \cdot 11}{5 \cdot 11} + \frac{21 \cdot 5}{11 \cdot 5} \\ &= \frac{187 + 105}{55} \\ &= \frac{292}{55} \end{aligned} \]