Answer:
[tex]-1\frac{10}{11}[/tex]
Step-by-step explanation:
Step 1: Convert both mixed fractions to improper fractions
[tex]-5\frac{1}{4}[/tex]
[tex]-\frac{1+(5*4)}{4}[/tex]
[tex]-\frac{1+20}{4}[/tex]
[tex]-\frac{21}{4}[/tex]
[tex]2\frac{3}{4}[/tex]
[tex]\frac{3+(2*4)}{4}[/tex]
[tex]\frac{3+8}{4}[/tex]
[tex]\frac{11}{4}[/tex]
Step 2: Change the expression to a multiplication
[tex]-\frac{21}{4} / \frac{11}{4}[/tex]
[tex]-\frac{21}{4} * \frac{4}{11}[/tex]
Step 3: Multiply
[tex]-\frac{21*4}{4*11}[/tex]
[tex]-\frac{84}{44}[/tex]
Step 4: Simplify
[tex]-\frac{84/4}{44/4}[/tex]
[tex]-\frac{21}{11}[/tex]
Step 5: Convert to mixed number
[tex]-\frac{11+10}{11}[/tex]
[tex]-1\frac{10}{11}[/tex]
Answer: [tex]-1\frac{10}{11}[/tex]
