How do you simplify #\frac{9}{10}\times \frac{1}{3}-\frac{2}{5}\times \frac{1}{11}#?

Question

1416 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-07T06:48:55

#color(purple)(29 / 110)#

#((9/10) * (1/3)) - ((2/5)*(1/11))#

#=> (9/30) - (2/55)#

Now we have to find the L C M of 30, 55.

#30 => 2 * 3 * color(brown)(5)#

#55 => 11 * color(brown)(5)#

As #color(brown)(5)# is duplicated in both numbers 30 & 55,

#L C M of (30, 55) = 2 * 3 * 11 * color(brown)(5) = 330#

#=> (9/30) - (2/55) = ((9 * 11) - (2 * 6)) / 330 = (99 - 12) / 330#

#=> cancel(87)^color(red)(29) / cancel (330)^color(red)(110) = color(purple)(29 / 110)#