Answer:
[tex]\frac{114}{13}[/tex] or 8 [tex]\frac{10}{13}[/tex]
Step-by-step explanation:
1) Convert the mixed numbers to improper fractions
3+ [tex]\frac{15}{2}[/tex] ÷ [tex]\frac{13}{10}[/tex]
2) To divide by a fraction, multiply by the reciprocal of that fraction
3+[tex]\frac{15}{2}[/tex] × [tex]\frac{10}{3}[/tex]
3) Reduce the numbers with the greatest common factor 2
3 + 15 ×[tex]\frac{5}{13}[/tex]
4) Calculate the product
3 + [tex]\frac{75}{13}[/tex]
5) Calculate the sum
[tex]\frac{114}{13}[/tex] = 8 [tex]\frac{10}{13}[/tex]
