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Arrange the number in ascending order: 3/5, 1/7, -3/2, 6/8.

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Final answer:

To arrange the numbers -3/2, 1/7, 3/5, 6/8 in ascending order, one can convert them to decimal form and then order them from smallest to largest: -3/2, 1/7, 3/5, 6/8.

Step-by-step explanation:

To arrange the numbers 3/5, 1/7, -3/2, 6/8 in ascending order, we must first compare their values. To do this efficiently, it might help to convert them into decimals or find a common denominator. Let's convert them to decimals for simplicity:

  • 3/5 = 0.6
  • 1/7 ≈ 0.14
  • -3/2 = -1.5
  • 6/8 = 0.75

Now that we have their decimal equivalents, we can easily see the order from smallest to largest. Here it is in ascending order:

  1. -3/2 (-1.5)
  2. 1/7 (≈ 0.14)
  3. 3/5 (0.6)
  4. 6/8 (0.75)

To arrange the numbers in ascending order, we need to compare their values. Let's convert the fractions into decimals for easier comparison:

3/5 = 0.6

1/7 ≈ 0.1429

-3/2 = -1.5

6/8 = 0.75

Now, let's arrange the decimals in ascending order:

-1.5

0.1429

0.6

0.75

Therefore, the numbers in ascending order are: -3/2, 1/7, 3/5, 6/8.

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