Question

which of the following is a true statement?
\\(\frac{1}{4} < \frac{4}{8}\\)
\\(\frac{11}{13} < \frac{4}{3}\\)
\\(\frac{5}{6} > \frac{10}{12}\\)
\\(\frac{8}{16} = \frac{1}{4}\\)

Explanation:

Step1: Simplify/convert to common denominators

For $\frac{3}{4}$ and $\frac{4}{6}$: $\frac{3}{4}=\frac{9}{12}$, $\frac{4}{6}=\frac{8}{12}$. $\frac{9}{12}>\frac{8}{12}$, so false.

Step2: Simplify/convert to common denominators

For $\frac{11}{15}$ and $\frac{4}{3}$: $\frac{4}{3}=\frac{20}{15}$. $\frac{11}{15}<\frac{20}{15}$, so true.

Step3: Simplify/convert to common denominators

For $\frac{5}{6}$ and $\frac{10}{12}$: $\frac{5}{6}=\frac{10}{12}$. $\frac{10}{12}=\frac{10}{12}$, so false.

Step4: Simplify fractions

$\frac{8}{16}=\frac{1}{2}
eq\frac{1}{4}$, so false.

Answer:

$\frac{11}{15} < \frac{4}{3}$