To find:
The decreasing order of the fractions.
Solution:
1.
The numbers are -3, 1 1/4, -1 3/4, 1/10.
First change the mixed fractions to improper fractions.
[tex]1\frac{1}{4}=\frac{5}{4}\text{ and }-1\frac{3}{4}=-\frac{7}{4}[/tex]Now, change the fractions to decimal form by dividing the numerator by its denominator:
[tex]\frac{5}{4}=1.25\text{ and }-\frac{7}{4}=-1.75\text{ and }\frac{1}{10}=0.1[/tex]Now, it is known that greater than negative number, the lesser the value.
So, the decreasing order of the numbers is:
[tex]1\frac{1}{4}>\frac{1}{10}>-1\frac{3}{4}>-3[/tex]