How do you evaluate #-2\frac { 2} { 3} + 1\frac { 3} { 5} #?

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Answer 1 · 2017-04-13T21:41:08

#= -1 1/15#

Be careful with negative fractions! They often lead to errors.

It might be easier to write this as:

#1 3/5 -2 2/3" "larr# work with the whole numbers

#-1 (9-10)/15" "larr# find common denominator

#-1 (-1)/15#

There is an addition between the whole number and the fraction, so this actually means:

#-1 + ((-1)/15)#

#= -1 1/15#

Remember that the entire fraction is negative.