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Put these numbers in order from least to greatest.\newlineOrder Items: [4.5][5910][578][4.5][5 \frac{9}{10}][5 \frac{7}{8}]

Full solution

Q. Put these numbers in order from least to greatest.\newlineOrder Items: [4.5][5910][578][4.5][5 \frac{9}{10}][5 \frac{7}{8}]
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison.\newline5910=(5×10+9)/10=59105 \frac{9}{10} = (5 \times 10 + 9)/10 = \frac{59}{10}\newline578=(5×8+7)/8=4785 \frac{7}{8} = (5 \times 8 + 7)/8 = \frac{47}{8}
  2. Compare Decimal Equivalents: Compare the decimal equivalents of each number. \newline4.54.5 (as a decimal is 4.54.5)\newline5910\frac{59}{10} (as a decimal is 5.95.9)\newline478\frac{47}{8} (as a decimal is 5.8755.875)
  3. Order from Least to Greatest: Order the numbers from least to greatest based on their decimal values. 4.5 < 5.875 < 5.9