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Which arrangement shows 31/8, 3.7, 3 3/4, and 3.89 in order from least to greatest?

Responses

31/8, 3.7, 3 3/4, 3.89
31 over 8 , 3.7, 3 and 3 over 4 , 3.89

3.7, 3 3/4, 3.89, 31/8
3.7, 3 and 3 over 4 , 3.89, 31 over 8

3.7, 3 3/4, 31/8, 3.89
3.7, 3 and 3 over 4 , 31 over 8 , 3.89

3.89, 3 3/4,31/8, 3.7
3.89, 3 and 3 over 4 , 31 over 8 , 3.7

1 answer

To compare the numbers \( \frac{31}{8} \), \( 3.7 \), \( 3 \frac{3}{4} \), and \( 3.89 \), let's convert them to decimal form:

  1. \( \frac{31}{8} = 3.875 \) (since \( 31 \div 8 = 3.875 \))
  2. \( 3.7 \) is already in decimal form.
  3. \( 3 \frac{3}{4} = 3.75 \) (since \( 3 + \frac{3}{4} = 3 + 0.75 = 3.75 \))
  4. \( 3.89 \) is already in decimal form.

Now listing the values in decimal:

  • \( 3.7 = 3.700 \)
  • \( 3.75 \)
  • \( 3.875 \)
  • \( 3.89 \)

Now arranging these values from least to greatest:

  1. \( 3.7 \)
  2. \( 3.75 \) (or \( 3 \frac{3}{4} \))
  3. \( 3.875 \) (or \( \frac{31}{8} \))
  4. \( 3.89 \)

So the order from least to greatest is:

  • \( 3.7, 3 \frac{3}{4}, \frac{31}{8}, 3.89 \)

Therefore, the correct response is: 3.7, 3 3/4, 31/8, 3.89 3.7, 3 and 3 over 4, 31 over 8, 3.89