How do you evaluate #-6- 5\frac { 3} { 5} #?

2 Answers
Aug 13, 2017

#-58/5 or - 11 3/5 or -11.6#

Explanation:

First.. Note that #5 3/5# is a mixed fraction!

So we must first convert it to an Improper Fraction..

Converting from Mixed fraction to Improper fraction

#-> 5 3/5 = (5 xx 5 + 3)/5 = 28/5 -> "Improper fraction"#

#rArr - 6 - 28/5#

#rArr ((-6 xx 5) - 28)/5#

#rArr (-30 - 28)/5#

#rArr -58/5 or - 11 3/5 or -11.6#

Aug 14, 2017

#-11 3/5#

Explanation:

We are adding two negative values together.
The answer will be a negative,

Add the whole numbers first, and then the fraction:

In the same way that #2 3/4 +4 = 6 3/4#

#color(blue)(-6 -5) 3/5#

#=color(blue)(-11) 3/5#