Subjects algebra

Order Fractions 993C6A

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1. The problem is to arrange the numbers three fourths, five sixths, four fifths, and 0.95 in order from smallest to largest. 2. First, convert all fractions to decimal form to compare easily: - Three fourths: $\frac{3}{4} = 0.75$ - Five sixths: $\frac{5}{6} \approx 0.8333$ - Four fifths: $\frac{4}{5} = 0.8$ - 0.95 is already a decimal. 3. Now list the decimals: - 0.75 (three fourths) - 0.8 (four fifths) - 0.8333 (five sixths) - 0.95 4. Arrange these decimals from smallest to largest: $$0.75 < 0.8 < 0.8333 < 0.95$$ 5. Convert back to the original forms: $$\text{three fourths} < \text{four fifths} < \text{five sixths} < 0.95$$ 6. Therefore, the correct order from smallest to largest is option B. Final answer: three fourths, four fifths, five sixths, 0.95