Question

find the difference.
$\frac{1}{2} - \frac{1}{10} = \frac{1}{10}$
done step it out
key idea
i can rewrite one fraction so that they have the same deno
$\frac{1}{2} = \frac{?}{10}$

Explanation:

Step1: Get common denominator

$\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$

Step2: Subtract the fractions

$\frac{5}{10} - \frac{1}{10} = \frac{5-1}{10} = \frac{4}{10}$

Step3: Simplify the result

$\frac{4}{10} = \frac{2}{5}$

Answer:

$\frac{2}{5}$

Note: The partially filled answer $\frac{1}{10}$ in the image is incorrect; the correct numerator after subtraction is 4, which simplifies to $\frac{2}{5}$.