Question

subtract.
$4\frac{3}{5} - 8\frac{2}{5} = \square$

Explanation:

Step1: Convert mixed numbers to improper fractions

First, convert \(4\frac{3}{5}\) to an improper fraction: \(4\frac{3}{5}=\frac{4\times5 + 3}{5}=\frac{23}{5}\).
Then, convert \(8\frac{2}{5}\) to an improper fraction: \(8\frac{2}{5}=\frac{8\times5+2}{5}=\frac{42}{5}\).

Step2: Perform the subtraction

Now subtract the two improper fractions: \(\frac{23}{5}-\frac{42}{5}=\frac{23 - 42}{5}=\frac{-19}{5}\).

Step3: Convert back to mixed number (optional, but for clarity)

\(\frac{-19}{5}=-3\frac{4}{5}\) (since \(19\div5 = 3\) with a remainder of \(4\), and the negative sign is carried over).

Answer:

\(-3\frac{4}{5}\) (or \(\frac{-19}{5}\))