Anyone good at math?

6/5 divided by (1/27+11/192+343/512)needs to be in fraction form

sorry,not good at math

first you want to simplify all of the stuff that is being added because it is in parenthesis. to do this you need to get a common denominator. looking at the prime factorization of the denominators we see that 27 has a prime factorization of 2*2*2, 192 has a prime factorization of 2*2*2*2*2*2*3, and 512 has a prime factorization of 2*2*2*2*2*2*2*2*2. therefore the common denominator should be 2*2*2*2*2*2*2*2*2*3*3*3 (13824). now we have to get the three numbers to have the same denominator so: we multiply 1/27 by 512/512 to get 512/13824we multiply 11/192 by 72/72 to get 792/13824we multiply 343/512 by 27/27 to get 9261/13824now we add the tops so 512+792+9261=10565.now we have reduced the problem to (6/5)/(10565/13824).when you divide fractions you are really just multiplying by the reciprocal. so we can say (6/5) times (13824/10565). you multiply across to get 82944/52825which in decimal form is roughly 1.570