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What are the comparison symbols for 5/6 and 2/5, 4/10 and 7/8, and 3/12 and 1/4

Answer like this: Example

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User Khcpietro
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1 Answer

5 votes

Answer:

  • 5/6 > 2/4
  • 4/10 < 7/8
  • 3/12 = 1/4

Explanation:

The comparison will be the same if you subtract the right side and compare to zero:

a/b ?? c/d . . . . . . . using ?? for the unknown comparison symbol

a/b - c/d ?? 0 . . . . subtract the fraction on the right

(ad -bc)/bd ?? 0 . . . combine the two fractions

ad - bc ?? 0 . . . . . . multiply by bd to make the job easier

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5/6 and 2/5

5(5) -6(2) = 25 -12 > 0 ⇒ 5/6 > 2/5

4/10 and 7/8

4(8) -10(7) = 48 - 70 < 0 ⇒ 4/10 < 7/8

3/12 and 1/4

3(4) -12(1) = 0 ⇒ 3/12 = 1/4

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Of course, you can use your calculator (or your memory) to change each of these to a decimal equivalent. The comparison should be easy at that point.

0.833 > 0.400

0.400 < 0.875

0.250 = 0.250

User Srinivasankanna
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7.4k points