100+70+3/10+9/1000

asked by guest
on Nov 09, 2024 at 9:17 pm



You asked:

Evaluate the expression: \(100 + 70 + \frac{3}{10} + \frac{9}{1000}\)

MathBot Answer:

\[ 100 + 70 + \frac{3}{10} + \frac{9}{1000} = \frac{170309}{1000} = 170.309 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{100}{1}\), \(\frac{70}{1}\), \(\frac{3}{10}\), and \(\frac{9}{1000}\) is \(1000\). \[ \begin{aligned} 100 + 70 + \frac{3}{10} + \frac{9}{1000} &= \frac{100 \cdot 1000}{1 \cdot 1000} + \frac{70 \cdot 1000}{1 \cdot 1000} + \frac{3 \cdot 100}{10 \cdot 100} + \frac{9 \cdot 1}{1000 \cdot 1} \\ &= \frac{100000 + 70000 + 300 + 9}{1000} \\ &= \frac{170309}{1000} \end{aligned} \]