Question

which fraction is less than \\(\frac{2}{4}\\)? \\(\frac{6}{12}\\) \\(\frac{8}{12}\\) \\(\frac{10}{12}\\) \\(\frac{3}{12}\\)

Explanation:

Step1: Simplify $\frac{2}{4}$

Simplify the given fraction $\frac{2}{4}$ by dividing numerator and denominator by 2. So, $\frac{2\div2}{4\div2}=\frac{1}{2}$. Now, convert $\frac{1}{2}$ to a fraction with denominator 12. Multiply numerator and denominator by 6: $\frac{1\times6}{2\times6}=\frac{6}{12}$.

Step2: Compare with each option

• For $\frac{6}{12}$: $\frac{6}{12}=\frac{6}{12}$, not less.
• For $\frac{8}{12}$: $\frac{8}{12}>\frac{6}{12}$, not less.
• For $\frac{10}{12}$: $\frac{10}{12}>\frac{6}{12}$, not less.
• For $\frac{3}{12}$: $\frac{3}{12}<\frac{6}{12}$, which means $\frac{3}{12}$ is less than $\frac{2}{4}$.

Answer:

$\frac{3}{12}$ (or the option with $\frac{3}{12}$)