2+4/10+5/1000
You asked:
Evaluate the expression: \(2 + \frac{4}{10} + \frac{5}{1000}\)
MathBot Answer:
\[ 2 + \frac{4}{10} + \frac{5}{1000} = \frac{481}{200} = 2.405 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{4}{10}\), and \(\frac{5}{1000}\) is \(1000\). \[ \begin{aligned} 2 + \frac{4}{10} + \frac{5}{1000} &= \frac{2 \cdot 1000}{1 \cdot 1000} + \frac{4 \cdot 100}{10 \cdot 100} + \frac{5 \cdot 1}{1000 \cdot 1} \\ &= \frac{2000 + 400 + 5}{1000} \\ &= \frac{2405}{1000} \\&= \frac{481}{200} \end{aligned} \]