3 4/17 + 4

asked by guest
on Nov 29, 2024 at 5:19 am



You asked:

Evaluate the expression: \(3\frac{4}{17} + 4\)

MathBot Answer:

\[ 3\frac{4}{17} + 4 = \frac{123}{17} = 7.\overline{2352941176470588} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{4}{17}\), and \(\frac{4}{1}\) is \(17\). \[ \begin{aligned} 3\frac{4}{17} + 4 &= \frac{3 \cdot 17}{1 \cdot 17} + \frac{4 \cdot 1}{17 \cdot 1} + \frac{4 \cdot 17}{1 \cdot 17} \\ &= \frac{51 + 4 + 68}{17} \\ &= \frac{123}{17} \end{aligned} \]