If a/b >c/d are both positive fractions, do we have ad > bc? If so, why?

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23-07-2020
Mathematics

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If a/b >c/d are both positive fractions, do we have ad > bc? If so, why?

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billgkgk billgkgk · Answer 1 · 2020-07-23T01:48:32+02:00

Answer: NO. if a/b > c/d, a/d is not greater than b/c

Step-by-step explanation: The the larger the number in the denominator, the smaller its value as it is represents fractional value, not a whole number. So when a "small" numerator is moved to a denominator, it increases in size, and the large number in the numerator moved to a denominator decreases in size.

Moving the denominator from a smaller fraction to the left side will diminish the value of the new fraction.

3/4 > 1/2 but 3/2 < 4/1

7/8 > 5/6 but 7/6 < 8/5

1/2 > 1/4 but 1/4 < 2/1