Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]
Step 1: Factor out the common term [tex]-1[/tex]
[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]
Step 2: Add the whole numbers
[tex]5 + 3 = 8[/tex]
Step 3: Combine the fractions:
[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]
Step 4: Convert the improper fractions to mixed numbers
[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]
Step 5: Add the numbers
[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]
Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]
