What is the sum of #3 1/6 + (-5.5)#, expressed as a mixed number in simplest form?

1 Answer
Mar 7, 2018

#= color(green)( -2(1/3)#

Explanation:

#3(1/6) = ((6*3) + 1) / 6 = 19/6#

#5.5 = (5.5 * 10) / 10 = cancel(55)^color(brown)(11) / cancel(10 )^color(brown)(2)= 11 / 2#

L C M of denominator of the numbers 2,6 is 6.

#:. (19/6) - 11 / 2 = (19/6) - ((11 * 3) / (2 * 3))#

#=> (19/6) - (33 / 6) = (19 - 33 ) / 6 = -cancel(14)^color(brown)7 / cancel(6)^color(brown)(3)#

#=> -(7/3) = color(green)( -2(1/3)#