Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. which of the following is a true statement? \\(\frac{8}{16} = \frac{1}{4}\\) \\(\frac{3}{4} < \frac{4}{6}\\) \\(\frac{5}{6} > \frac{10}{12}\\) \\(\frac{11}{15} < \frac{4}{5}\\)

Explanation:

Step1: Analizar $\frac{8}{16}=\frac{1}{4}$

Simplificar $\frac{8}{16}$: $\frac{8\div8}{16\div8}=\frac{1}{2}$. $\frac{1}{2}
eq\frac{1}{4}$, así que esta es falsa.

Step2: Analizar $\frac{3}{4}<\frac{4}{6}$

Simplificar $\frac{4}{6}=\frac{2}{3}$. Convertir a denominador común (12): $\frac{3}{4}=\frac{9}{12}$, $\frac{2}{3}=\frac{8}{12}$. $\frac{9}{12}>\frac{8}{12}$, así que $\frac{3}{4}>\frac{4}{6}$, esta es falsa.

Step3: Analizar $\frac{5}{6}>\frac{10}{12}$

Simplificar $\frac{10}{12}=\frac{5}{6}$. Entonces $\frac{5}{6}=\frac{5}{6}$, no es mayor, esta es falsa.

Step4: Analizar $\frac{11}{15}<\frac{4}{5}$

Convertir $\frac{4}{5}$ a denominador 15: $\frac{4\times3}{5\times3}=\frac{12}{15}$. $\frac{11}{15}<\frac{12}{15}$, así que esta es verdadera.

Answer:

$\boldsymbol{\frac{11}{15}<\frac{4}{5}}$ (la opción correspondiente a $\frac{11}{15}<\frac{4}{5}$)