Question

order these fractions from least to greatest.
\frac{5}{7}, \frac{4}{7}, \frac{1}{7}

Explanation:

Step1: Recall the rule for ordering fractions with the same denominator.

For fractions with the same denominator, the fraction with the smaller numerator is smaller. The denominator here is 7 for all fractions: $\frac{5}{7}$, $\frac{4}{7}$, $\frac{1}{7}$.

Step2: Compare the numerators.

The numerators are 5, 4, and 1. Since \(1 < 4 < 5\), we can order the fractions based on their numerators.

Step3: Order the fractions.

Using the rule from Step 1, we get \(\frac{1}{7}<\frac{4}{7}<\frac{5}{7}\).

Answer:

\(\frac{1}{7}\), \(\frac{4}{7}\), \(\frac{5}{7}\)