Question

order these fractions from greatest to least. \\(\frac{2}{7}, \frac{2}{4}, \frac{2}{5}\\)

Explanation:

Step1: Recall fraction comparison rule

For fractions with the same numerator, the fraction with the smaller denominator is larger. The formula is: if \( \frac{a}{b} \) and \( \frac{a}{c} \) (where \( a>0 \)), then \( \frac{a}{b}>\frac{a}{c} \) when \( b < c \).

Step2: Compare denominators

The fractions are \( \frac{2}{7} \), \( \frac{2}{4} \), \( \frac{2}{5} \). The numerators are all 2. The denominators are 7, 4, 5. Comparing the denominators: \( 4<5<7 \).

Step3: Order the fractions

Using the rule from Step1, since \( 4 < 5 < 7 \), we have \( \frac{2}{4}>\frac{2}{5}>\frac{2}{7} \).

Answer:

\( \frac{2}{4} \) > \( \frac{2}{5} \) > \( \frac{2}{7} \)