Question
Arrange these fractions from the greatest to the smallest. \[ \frac{4}{7}, \frac{2}{7}, \frac{6}{7} \]
Ask by Young Kirk. in Singapore
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fractions arranged from greatest to smallest are \(\frac{6}{7}\), \(\frac{4}{7}\), and \(\frac{2}{7}\).
Solution
We are given the fractions
\[
\frac{4}{7}, \quad \frac{2}{7}, \quad \frac{6}{7}.
\]
Since all fractions have the same denominator, we only compare their numerators.
1. The numerators are \(4\), \(2\), and \(6\).
2. Arranging these numerators from greatest to smallest gives: \(6\), \(4\), \(2\).
Thus, the fractions arranged from greatest to smallest are:
\[
\frac{6}{7}, \quad \frac{4}{7}, \quad \frac{2}{7}.
\]
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Simplify this solution Beyond the Answer
To arrange the fractions from greatest to smallest, start by comparing their numerators since they all share the same denominator. Clearly, \(\frac{6}{7}\) has the largest numerator, followed by \(\frac{4}{7}\), and lastly, \(\frac{2}{7}\). Thus, the order from greatest to smallest is: \[ \frac{6}{7}, \frac{4}{7}, \frac{2}{7} \]
