shrive555 wrote:

By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?

A. 73%

B. 56%

C. 41%

D. 37%

E. 29%

(4/5)(X) = 1 ( from the multiplicative reciprocal identity property we should know that 4/5 flipped is X)

(4/5)(5/4) = 1

x= 5/4

Now, let "y" equal the percentage increase

4/5 (Y) = 5/4 ( Y must be a number greater than 1- so if answer is in the form of a decimal such as "1.2" by the rules of percentage increase 20% would be our answer; alternatively, if we work with a number with a fraction and have a number such a "1 3/5: then the percentage increase would be 60%)

Y = (5/4) / (4/5) -- we can flip the fraction in the denominator and multiply it by the numerator in the next step

Y= (5/4)(5/4)

Y = 25/16 (lets turn this into a mixed number)

Y = 1 9/16

Now we know that our percentage increase is 9/16

a percentage. here's why

9/16= 56%

Hence "B"