Answer:
9. [tex]16\frac{1}{9}[/tex]
Step-by-step explanation:
1. For number 9, start by making [tex]10\frac{2}{3}[/tex] into a fraction, which would be [tex]\frac{32}{3}[/tex]. Then, find a common denominator. Multiply both sides by 3 to get a common denominator. You should get [tex]\frac{96}{9}[/tex].
2. Add [tex]\frac{96}{9}+\frac{4}{9}[/tex] to get [tex]\frac{100}{9}[/tex].
3. Add 5:
[tex]5=\frac{45}{9}[/tex] so our equation is [tex]\frac{100}{9}+ \frac{45}{9}[/tex], which is [tex]\frac{145}{9}[/tex].
4. Simplify: [tex]16\frac{1}{9}[/tex]
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5. For number 11, start by translating the mixed numbers into fractions:
[tex]\frac{9}{2} +\frac{22}{3} * \frac{8}{5}[/tex]
6. Use PEMDAS to solve:
Multiply- [tex]\frac{22}{3} *\frac{8}{5} = \frac{176}{15}[/tex]
Add- [tex]\frac{176}{15} +\frac{9}{2}[/tex]
