how to solve

3.025-0.2345

asked by guest
on Oct 19, 2024 at 10:35 pm



You asked:

Evaluate the expression: \(3.025 - 0.2345\)

MathBot Answer:

\[ 3.025 - 0.2345 = \frac{5581}{2000} = 2.7905 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{25}{1000}\), and \(\frac{-2345}{10000}\) is \(10000\). \[ \begin{aligned} 3.025 - 0.2345 &= \frac{3 \cdot 10000}{1 \cdot 10000} + \frac{25 \cdot 10}{1000 \cdot 10} + \frac{-2345 \cdot 1}{10000 \cdot 1} \\ &= \frac{30000 + 250 + -2345}{10000} \\ &= \frac{27905}{10000} \\&= \frac{5581}{2000} \end{aligned} \]