Answer:
[tex]\displaystyle \frac{41}{12}[/tex]
Step-by-step explanation:
- [tex]\displaystyle \frac{5}{\frac{3}{2} } + \frac{\frac{1}{3} }{4}[/tex]
Start by focusing on 5/(3/2) first.
Multiply 5 by the reciprocal of the bottom fraction 3/2: 2/3.
- [tex]\displaystyle 5 \times \frac{2}{3} = \frac{10}{3}[/tex]
Now, multiply 1/3 by the reciprocal of 4: 1/4.
- [tex]\displaystyle \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}[/tex]
Add these two fractions together.
- [tex]\displaystyle \frac{10}{3} + \frac{1}{12}[/tex]
Multiply 10/3 by 4/4 to get common denominators with 1/12.
- [tex]\displaystyle \frac{10}{3} \Big (\frac{4}{4} \Big ) + \frac{1}{12}[/tex]
- [tex]\displaystyle \frac{40}{12} + \frac{1}{12} = \frac{41}{12}[/tex]
The answer to the given problem is 41/12.
