Question

graph $\frac{1}{2}$, $\frac{1}{8}$, and $\frac{1}{4}$ on the number line.
put the fractions in order from greatest to least.
$\frac{1}{2}$ $\frac{1}{8}$ $\frac{1}{4}$

Explanation:

Step1: Convert to common denominator

To compare \(\frac{1}{2}\), \(\frac{1}{8}\), and \(\frac{1}{4}\), we find a common denominator. The least common denominator of 2, 8, and 4 is 8.
\(\frac{1}{2}=\frac{1\times4}{2\times4}=\frac{4}{8}\)
\(\frac{1}{4}=\frac{1\times2}{4\times2}=\frac{2}{8}\)
\(\frac{1}{8}\) remains \(\frac{1}{8}\).

Step2: Compare numerators

Now that the fractions have the same denominator, we compare the numerators. For positive fractions with the same denominator, the larger the numerator, the larger the fraction.
Since \(4 > 2 > 1\), we have \(\frac{4}{8}>\frac{2}{8}>\frac{1}{8}\).

Step3: Substitute back original fractions

Substituting back the original fractions, we get \(\frac{1}{2}>\frac{1}{4}>\frac{1}{8}\).

Answer:

\(\frac{1}{2}\), \(\frac{1}{4}\), \(\frac{1}{8}\)