Simplfy the complex fraction. Show work 4/5 / 2/25 - 5/16

Question

    4/5

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2    _    5

--        ---

25        16

Answer 1

Let's work with the denominator first:

(2/25) - (5/16)= (32-125)/(16*25) = -97/(16*25)

 

Now invert and multiply: -4*16*25/(5*97) = -320/97 = - 3 29/97.

 

P.S. Thanks for your clear writing of the fraction required!