Question

subtract.
\\(\frac{-1}{10} - 4\frac{1}{2} = \square\\)

Explanation:

Step1: Convert mixed number to improper fraction

First, convert \(4\frac{1}{2}\) to an improper fraction. \(4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}\). Now the problem becomes \(\frac{-1}{10}-\frac{9}{2}\).

Step2: Find a common denominator

The common denominator of 10 and 2 is 10. Rewrite \(\frac{9}{2}\) with denominator 10: \(\frac{9}{2}=\frac{9\times5}{2\times5}=\frac{45}{10}\). So the expression is \(\frac{-1}{10}-\frac{45}{10}\).

Step3: Subtract the fractions

When subtracting fractions with the same denominator, subtract the numerators: \(\frac{-1 - 45}{10}=\frac{-46}{10}\). Simplify this fraction: \(\frac{-46}{10}=-\frac{23}{5}\) or as a mixed number \( - 4\frac{3}{5}\).

Answer:

\(-\frac{23}{5}\) (or \( - 4\frac{3}{5}\))