-10 3/4 < or > -41/5
First, let's change the mixed number to a single fraction.
-10*4+3
-43/4 is the improper fraction we're gonna have
Now, let's find the LCD (least common denominator)
5,10,15,20,25,30...
4,8,12,16,20,24,28...
The least common denominator is 20
To get -43/4 to __/20, multiply -43 and 4 by 5
-43*5=-215
4*5=20
To get -41/5 to __/20, multiply -41 and 5 by 4
-41*4=-164
5*4=20
Our fractions now are
-215/20 < or > -164/20
Remember that with negatives, the larger number is less than the smaller number
-215/20 < -164/20
-10 3/4 < -41/5
In words, negative ten and three quarters is less than negative forty-one fifths.
