14/17+11 3/17

asked by guest
on Nov 21, 2024 at 2:07 am



You asked:

Evaluate the expression: \(\frac{14}{17} + 11\frac{3}{17}\)

MathBot Answer:

\[ \frac{14}{17} + 11\frac{3}{17} = 12 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{14}{17}\), \(\frac{11}{1}\), and \(\frac{3}{17}\) is \(17\). \[ \begin{aligned} \frac{14}{17} + 11\frac{3}{17} &= \frac{14 \cdot 1}{17 \cdot 1} + \frac{11 \cdot 17}{1 \cdot 17} + \frac{3 \cdot 1}{17 \cdot 1} \\ &= \frac{14 + 187 + 3}{17} \\ &= \frac{204}{17} \\&= 12 \end{aligned} \]