12+0/10+5/100+3/1000

asked by guest
on Sep 18, 2024 at 6:45 pm



You asked:

Evaluate the expression: \(12 + \frac{0}{10} + \frac{5}{100} + \frac{3}{1000}\)

MathBot Answer:

\[ 12 + \frac{0}{10} + \frac{5}{100} + \frac{3}{1000} = \frac{12053}{1000} = 12.053 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{12}{1}\), \(\frac{0}{10}\), \(\frac{5}{100}\), and \(\frac{3}{1000}\) is \(1000\). \[ \begin{aligned} 12 + \frac{0}{10} + \frac{5}{100} + \frac{3}{1000} &= \frac{12 \cdot 1000}{1 \cdot 1000} + \frac{0 \cdot 100}{10 \cdot 100} + \frac{5 \cdot 10}{100 \cdot 10} + \frac{3 \cdot 1}{1000 \cdot 1} \\ &= \frac{12000 + 0 + 50 + 3}{1000} \\ &= \frac{12053}{1000} \end{aligned} \]