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 $\frac{5}{6}$, $\frac{3}{4}$, $\frac{2}{3}$.
Fraction Ordering
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