# Algebra 2

How do you simplify (91/2 * 92/3)1/6?

Sorry there was a typo in the first sentence.  You want a common denominator of 6
Matt R.
28 October 2015
You want the fractions to have a common denominator of For the first fraction you want to turn 2 into 6.  To do this you simplify multiply by 3, so this is what you do to the numerator (91).  To get from 3 to 6 you multiply by two, so do this to that numerator and you get 184.Therefore you should end up with: (273/6*184/6)1/6
Matt R.
28 October 2015
1. Collect together all numerator and denominator expressions(91 x 92) / (2 x 3 x 6)2. Break down larger numbers in to their smaller (ideally prime) factorsHere 91 = 7 x 13and 92 = 2 x 2 x 23also 6 = 2 x 3now place back in and cancel any terms possible(7 x 13 x 2 x 2 x 23) / (2 x 2 x3)= (7 x 13 x 23) / 3= 2093 / 3 = 697 and 2/3
Paul D.
29 October 2015
Simplify.docx
jaymaths7
16 November 2015
Hi Sam, If you follow the rules of BIDMAS, everything in the brackets should be simplified first. Within the brackets you should simplify by doing each seperate division and then multiplying them - 91/2 is 45.5, 92/3 is 30.66, multiply them to get 1395.33. Then you want to time this by 1/6 to get 232,55,
James A.
22 November 2015
(91/2 x 92/3)/6= ((91 x 92) / (2 x 3)) / 6= (91 x 92 / 6 ) x 1/6= (91 x 92) / 36= 8372 / 36=2093/9                (which is also equals to 232.56)
Zain S.
30 November 2015
Using BIDMAS, first work out what is in the brackets. multiplying 91/2 and 92/3 gives 8372/6 (multiplying numerators together and denominators together). Now all is left to do is multiplying 8372/6 by 1/6 which gives 8372/12. Lastly, we find that 8372 and 12 have the common factor 4; so dividing both by 4 gives the simplified fraction 2093/3.