Answer:
[tex]\frac{31}{76}[/tex]
Step-by-step explanation:
We know that a cyclist wanted to ride [tex]9\frac{1}{2}[/tex] miles but only managed to travel [tex]3\frac{7}{8}[/tex] and we want to know what fraction he actually travelled so we have to divide the two fractions so
[tex]3\frac{7}{8}[/tex] ÷ [tex]9\frac{1}{2}[/tex]
→ First convert to improper fractions
[tex]\frac{31}{8}[/tex] ÷ [tex]\frac{19}{2}[/tex]
→ Because it's dividing fractions we have to remember the rule of flipping the second fraction so then it becomes a multiplication
[tex]\frac{31}{8}[/tex] × [tex]\frac{2}{19}[/tex]
→ Simplify
[tex]\frac{31}{76}[/tex]
So the cyclist had travelled only [tex]\frac{31}{76}[/tex] of his planned trip
