Terrance is organizing wrenches in his toolbox. This list shows the sizes, in inches, for three of the wrenches. 1/2 , 5/8 , 9/16





Which list shows these fractions in order from least to greatest?

A. 1/2 , 5/8 , 9/16




B. 1/2 , 9/16 , 5/8




C. 9/16 , 1/2 , 5/8




D. 5/8 , 9/16 , 1/2

1 answer

To compare the fractions \( \frac{1}{2} \), \( \frac{5}{8} \), and \( \frac{9}{16} \), we can convert them to a common denominator or convert them to decimals.

  1. Convert to decimals:
    • \( \frac{1}{2} = 0.5 \)
    • \( \frac{5}{8} = 0.625 \)
    • \( \frac{9}{16} = 0.5625 \)

Now, we can order them based on their decimal values:

  • \( 0.5 < 0.5625 < 0.625 \)

So the order from least to greatest is:

  1. \( \frac{1}{2} \)
  2. \( \frac{9}{16} \)
  3. \( \frac{5}{8} \)

This corresponds to option B: 1/2 , 9/16 , 5/8.