Question

In which of the following are $\frac{1}{2}$, $\frac{5}{6}$, and $\frac{5}{8}$ arranged in ascending order?

• A. $\frac{1}{2}<\frac{5}{8}<\frac{5}{6}$
• B. $\frac{5}{6}<\frac{1}{2}<\frac{5}{8}$
• C. $\frac{5}{6}<\frac{5}{8}<\frac{1}{2}$
• D. $\frac{5}{8}<\frac{1}{2}<\frac{5}{6}$

Answer 1

The correct option is A $\frac{1}{2}<\frac{5}{8}<\frac{5}{6}$

The following fractions can be written as

$\frac{1}{2}=0.5$

$\Rightarrow \frac{5}{6}=0.83$

$\Rightarrow \frac{5}{8}=0.62$

Since $0.5<0.62<0.83$

Therefore, $\frac{1}{2}<\frac{5}{8}<\frac{5}{6}$

Hence, option A is correct.