2.25-0.0025

asked by guest
on Jan 16, 2025 at 4:09 am



You asked:

Evaluate the expression: \(2.25 - 0.0025\)

MathBot Answer:

\[ 2.25 - 0.0025 = \frac{899}{400} = 2.2475 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{25}{100}\), and \(\frac{-25}{10000}\) is \(10000\). \[ \begin{aligned} 2.25 - 0.0025 &= \frac{2 \cdot 10000}{1 \cdot 10000} + \frac{25 \cdot 100}{100 \cdot 100} + \frac{-25 \cdot 1}{10000 \cdot 1} \\ &= \frac{20000 + 2500 + -25}{10000} \\ &= \frac{22475}{10000} \\&= \frac{899}{400} \end{aligned} \]