Subjects algebra

Fraction Ordering

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1. The problem is to arrange fractions from largest to smallest. 2. To compare fractions, we find a common denominator or convert them to decimals. 3. For example, if the fractions are $\frac{3}{4}$, $\frac{2}{3}$, and $\frac{5}{6}$, we find the least common denominator (LCD). 4. The denominators are 4, 3, and 6. The LCD is 12. 5. Convert each fraction: - $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$ - $\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$ - $\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$ 6. Now compare numerators: 9, 8, and 10. 7. Order from largest to smallest: $\frac{10}{12} > \frac{9}{12} > \frac{8}{12}$, which corresponds to $\frac{5}{6} > \frac{3}{4} > \frac{2}{3}$. 8. Therefore, the fractions arranged from largest to smallest are $\frac{5}{6}$, $\frac{3}{4}$, $\frac{2}{3}$.