Complete the inequality statement. 8 5/12 8 3/8

  8 5/12 > 8 3/8

Step-by-step explanation:

The integer parts of the numbers are the same, so we can find the desired result by comparing the fractions. To do that, we can subtract one from the other, or we can simply write them both with a common denominator.

Subtracting:

  5/12 -3/8 = (5·8 -12·3)/(12·8) = 4/(12·8) = 1/24 > 0

so we have ...

  5/12 > 3/8

  8 5/12 > 8 3/8

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Common Denominator:

The denominators of the fractions are 12 and 8. The least common multiple of these numbers is 12·2 = 8·3 = 24. Then the numbers can be written as ...

  8 5/12 = 8 10/24

  8 3/8 = 8 9/24 . . . . . . this is less than 8 10/24

Then the appropriate relation between the numbers is ...

  8 5/12 > 8 3/8

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step-by-step explanation: