Answer:
[tex]=-1\frac{1}{2}[/tex]
Step-by-step explanation:
Given the following question:
[tex]-3\frac{3}{4} \div2\frac{1}{2}[/tex]
In order to find the answer, we first convert the mixed numbers into improper fractions. Then we use KCF (Keep, Change, Flip) and solve.
[tex]-3\frac{3}{4} \div2\frac{1}{2}[/tex]
[tex]-3\frac{3}{4} =12+3=-\frac{15}{4}[/tex]
[tex]2\frac{1}{2}=2\times2=4+1=\frac{5}{2}[/tex]
[tex]-\frac{15}{4} \div\frac{5}{2}[/tex]
[tex]-\frac{15}{4} \times\frac{2}{5}[/tex]
[tex]15\times2=30[/tex]
[tex]4\times5=20[/tex]
[tex]=-\frac{30}{20}[/tex]
[tex]-\frac{30}{20} \div10=-\frac{3}{2}[/tex]
[tex]-\frac{3}{2}=3\div2=-1\frac{1}{2}[/tex]
[tex]=-1\frac{1}{2}[/tex]
Hope this helps.
