Question

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

Answer 1

`= 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)`