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Put these numbers in order from greatest to least.\newlineOrder Items: [1420][11525][1][-1 \frac{4}{20}][1 \frac{15}{25}][-1]

Full solution

Q. Put these numbers in order from greatest to least.\newlineOrder Items: [1420][11525][1][-1 \frac{4}{20}][1 \frac{15}{25}][-1]
  1. Convert to Improper Fractions: Convert mixed numbers and fractions to improper fractions for easier comparison.\newline1420=1+420=1+15=65-1 \frac{4}{20} = -1 + \frac{4}{20} = -1 + \frac{1}{5} = -\frac{6}{5}\newline11525=1+1525=1+35=851 \frac{15}{25} = 1 + \frac{15}{25} = 1 + \frac{3}{5} = \frac{8}{5}
  2. Compare Values: Compare the values of 65-\frac{6}{5}, 85\frac{8}{5}, and 1-1. 1-1 as a fraction is 11-\frac{1}{1} or 55-\frac{5}{5}. Ordering: 85\frac{8}{5} (which is 1.61.6), 55-\frac{5}{5} (which is 1-1), 65-\frac{6}{5} (which is 85\frac{8}{5}11).
  3. Write in Descending Order: Write the numbers in descending order based on the comparison.\newline11525(85)1 \frac{15}{25} (\frac{8}{5}), 1(55)-1 (\frac{-5}{5}), 1420(65)-1 \frac{4}{20} (\frac{-6}{5}).