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Put the following fractions in order from largest to smallest: 1/2, 1/10, 5/8, 3/4

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Final answer:

To arrange the fractions from largest to smallest, convert each to decimal form and compare: 3/4 (0.75), 5/8 (0.625), 1/2 (0.5), and 1/10 (0.1). Thus, the order is 3/4, 5/8, 1/2, then 1/10.

Step-by-step explanation:

To organize the fractions 1/2, 1/10, 5/8, and 3/4 from largest to smallest, we can compare their decimal equivalents or find a common denominator. Here's a step-by-step approach:

  1. Convert each fraction to decimal form:
    1/2 = 0.5
    1/10 = 0.1
    5/8 = 0.625
    3/4 = 0.75
  2. Arrange the decimals from largest to smallest:
    3/4 (0.75) > 5/8 (0.625) > 1/2 (0.5) > 1/10 (0.1)
  3. Write the corresponding fractions in the same order:
    3/4, 5/8, 1/2, 1/10

Therefore, the fractions arranged from largest to smallest are 3/4, 5/8, 1/2, then 1/10.

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