Answer:
-7 3/4 (or it can be written as -31/4, an improper fraction)
Step-by-step explanation:
- [tex]\left(\frac{1}{2}\right)^2-6\left(2-\frac{2}{3}\right)[/tex]
- [tex]\frac{1}{4} - 6(2-\frac{2}{3})[/tex]
- [tex]\frac{1}{4}-6(1\frac{1}{3})[/tex]
- [tex]\frac{1}{4} - 6 * \frac{4}{3}[/tex]
- [tex]\frac{1}{4} - \frac{24}{3}[/tex]
- [tex]\frac{1}{4} - 8[/tex]
- [tex]\frac{-31}{4}[/tex]
- [tex]-7\frac{3}{4}[/tex]
Therefore, the answer is -7 3/4 as a mixed number and -31/4 as an improper fraction (they're the same thing).
