Final answer:
To order the fractions from largest to smallest, they were converted to equivalent fractions with a common denominator, revealing the order to be 5/10, 5/15, 1/5, and 5/20.
Step-by-step explanation:
To put the fractions 1/5, 5/15, 5/20, and 5/10 in order from largest to smallest, we first need to compare them by finding a common denominator or converting them to decimals. Let's convert each fraction to have a common denominator which would be 60, the least common multiple of 5, 15, 20, and 10. Converting each fraction, we get:
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- 1/5 = 12/60,
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- 5/15 = 20/60 (which simplifies to 1/3 = 4/12),
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- 5/20 = 15/60 (which simplifies to 1/4),
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- 5/10 = 30/60 (which simplifies to 1/2).
Now we can easily compare these fractions: 1/2 (5/10) is the largest, followed by 1/3 (5/15), then 1/5, and finally 1/4 (5/20) is the smallest fraction.
Therefore, the order from largest to smallest is: 5/10, 5/15, 1/5, 5/20.