Question

3 order the following fractions from least to greatest.
\\(\frac{8}{9}\\) \\(\frac{2}{9}\\) \\(\frac{7}{9}\\) \\(\frac{4}{9}\\)

choices
① \\(\frac{2}{9}\\)
② \\(\frac{4}{9}\\)
③ \\(\frac{7}{9}\\)
④ \\(\frac{8}{9}\\)

4 order the following fractions from least to greatest.

Explanation:

Step1: Recall rule for like fractions

For fractions with the same denominator (like fractions), the fraction with the smaller numerator is smaller. The denominators here are all 9.

Step2: Order numerators

The numerators are 2, 4, 7, 8 (from the fractions \(\frac{2}{9}\), \(\frac{4}{9}\), \(\frac{7}{9}\), \(\frac{8}{9}\)). Ordering the numerators from least to greatest: \(2 < 4 < 7 < 8\).

Step3: Order fractions

Since the denominator is the same, the order of the fractions from least to greatest is based on the order of their numerators. So \(\frac{2}{9} < \frac{4}{9} < \frac{7}{9} < \frac{8}{9}\).

Answer:

\(\frac{2}{9}\), \(\frac{4}{9}\), \(\frac{7}{9}\), \(\frac{8}{9}\)