Question

1. subtract: \\(\frac{1}{2} - \frac{3}{10}\\). options: \\(\frac{1}{4}\\), \\(\frac{3}{8}\\), \\(\frac{4}{5}\\), \\(\frac{1}{5}\\)

Explanation:

Step1: Find a common denominator

The denominators are 2 and 10. The least common denominator is 10. Rewrite $\frac{1}{2}$ with denominator 10: $\frac{1\times5}{2\times5}=\frac{5}{10}$.

Step2: Subtract the fractions

Now subtract $\frac{3}{10}$ from $\frac{5}{10}$: $\frac{5}{10}-\frac{3}{10}=\frac{5 - 3}{10}=\frac{2}{10}$.

Step3: Simplify the result

Simplify $\frac{2}{10}$ by dividing numerator and denominator by 2: $\frac{2\div2}{10\div2}=\frac{1}{5}$.

Answer:

$\frac{1}{5}$ (corresponding to the first option: $\frac{1}{5}$)