Question

if the numerator of a fraction is decreased 25 percent and the denominator of that fraction is increased 25 percent, then the difference between the resulting and the original fractions represent what percentage decrease?

Answer 1

Assigning numbers here works well.  

Original fraction

Use numbers that yield easy results when multiplied by \(\frac{3}{4}\) (.75) and \(\frac{5}{4}\) (1.25)

Let the original fraction = \(\frac{100}{100}\) (which = 1)

New fraction

The numerator is decreased 25 percent. The denominator increases by 25 percent. New fraction:

\(\frac{75}{125}\) (which =\(\frac{3}{5}\))

Percent decrease?

Percent decrease generally:

\(\frac{|New-Old|}{Old}*100\)

Percent decrease here \(\frac{|\frac{3}{5}-1|}{1}*100)=(|-\frac{2}{5}|*100)=(0.4*100)=\)  

40 percent decrease

Answer 2

hope it helps u very much