Answer:
[tex]5\frac{5}{6}[/tex]
Step-by-step explanation:
The problem above requires the use of mathematical operation with mixed fractions. In order to do this, you have to convert the mixed fractions into improper fractions first.
Let's convert.
- [tex]3\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex]
- [tex]1\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex]
Next, you have to multiply the fractions by multiplying the numerators with each other and the denominators with each other.
Let's solve.
- [tex]\frac{7}{2}[/tex] x [tex]\frac{5}{3}[/tex] = [tex]\frac{35}{6}[/tex]
Since [tex]\frac{35}{6}[/tex] is an improper fraction and the choices above are mixed fractions, you have to convert it.
Let's convert.
- [tex]\frac{35}{6}[/tex] = [tex]5\frac{5}{6}[/tex]
Therefore, the answer is [tex]5\frac{5}{6}[/tex]
