Hey there :)
Let us first convert the fraction to a decimal
[tex]-5 \frac{5}{6}= \frac{35}{6} [/tex] = - 5.833..
Comparing - 5.83 and - 5.8 on a positive number line would prove that 5.83 is greater.
However, since both are negative - 5.83 is less than - 5.8 because - 5.83 is to the left in a number line.
So the answer is No, [tex]-5 \frac{5}{6} [/tex] is not greater than - 5.8
