Question

add.
$9\frac{1}{10} + \frac{-1}{2} = $

Explanation:

Step1: Convert the fraction to have a common denominator

The second fraction is $\frac{-1}{2}$, and to have a denominator of 10, we multiply the numerator and denominator by 5: $\frac{-1\times5}{2\times5}=\frac{-5}{10}$

Step2: Add the mixed number and the fraction

The mixed number is $9\frac{1}{10}$, so we add it to $\frac{-5}{10}$: $9\frac{1}{10}+\frac{-5}{10}=9\frac{1 - 5}{10}=9\frac{-4}{10}$

Step3: Simplify the fraction

Simplify $\frac{-4}{10}$ to $\frac{-2}{5}$, so the result is $8\frac{3}{5}$ (or we can also calculate it as an improper fraction: $9\frac{1}{10}-\frac{5}{10}=\frac{91}{10}-\frac{5}{10}=\frac{86}{10}=\frac{43}{5}=8\frac{3}{5}$)

Answer:

$8\frac{3}{5}$ (or $\frac{43}{5}$)