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Possible Percent Problems Part 3 (Posted on 2010-01-15)

Two irreducible fractions a/b and c/d give the same value when rounded to the nearest percent.

If this percent is between 0 and 50, what pair minimizes b+d?

What is the next smallest?

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Puzzle Answer

Comment 3 of 3 |

The smallest bd-pair is:3/8 & 5/13 (8+13=21).

Each, when rounded, equals 38%

Next smaller minimized b+d pair is: 1/8 & 2/15 (8+15=23).

Each, when rounded, equals 13%.

Edited on September 15, 2023, 8:41 pm

Posted by K Sengupta on 2023-09-15 20:38:42

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