=17 4/10+9 3/4
You asked:
Evaluate the expression: \(17\frac{4}{10} + 9\frac{3}{4}\)
MathBot Answer:
\[ 17\frac{4}{10} + 9\frac{3}{4} = \frac{543}{20} = 27.15 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{17}{1}\), \(\frac{4}{10}\), \(\frac{9}{1}\), and \(\frac{3}{4}\) is \(20\). \[ \begin{aligned} 17\frac{4}{10} + 9\frac{3}{4} &= \frac{17 \cdot 20}{1 \cdot 20} + \frac{4 \cdot 2}{10 \cdot 2} + \frac{9 \cdot 20}{1 \cdot 20} + \frac{3 \cdot 5}{4 \cdot 5} \\ &= \frac{340 + 8 + 180 + 15}{20} \\ &= \frac{543}{20} \end{aligned} \]