Multiply a number by 4/5 then dividing by 2/5 is the same as multiplying by what number?

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Answer 1 · 2018-04-06T18:33:13

2

to divide a fraction you would multiply by it's inverse.

#x * 4/5 / 2/5# would be rewritten as

#x * 4/5 * 5/2#

cancel the 5s out and you are left with multiplying #x# by 4 and then dividing it by 2 but you should reduce that as well, making it #2x#

Answer 2 · 2018-04-06T18:33:58

#2#

Let us assume the unknown number to be #x.#

According to the question, We have:

#=>x xx 4/5 -:2/5#

#=>x xx[cancel(4)^2]/cancel5xxcancel5/cancel2#

#=>x xx 2#

#therefore# Multiplying a number by #4/5# then dividing it by #2/5# is the same as multiplying by #2#

Hope this helps! :)