lilyrosezyx lilyrosezyx
  • 08-06-2021
  • Mathematics
contestada

By what percent will a fraction increase if its numerator is decreased by 60% and its denominator is decreased by 20%?

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sqdancefan
sqdancefan sqdancefan
  • 09-06-2021

9514 1404 393

Answer:

  -50%

Step-by-step explanation:

Suppose the fraction is f = p/q before any changes.

Decreasing the numerator by 60% multiplies it by (1 -0.60) = 0.4.

Decreasing the denominator by 20% multiplies it by (1 -0.20) = 0.8.

Then the new fraction is ...

  f' = p(0.4)/(q(0.8)) = (p/q)(0.4/0.8) = f(0.5) = f(1 -0.50) = f(1 +(-50%))

The increase in the value of the fraction is -50%.

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