Answer:
[tex]\frac{5}{6}[/tex] yards
Step-by-step explanation:
Luis had [tex]3\frac{1}{3}[/tex] yards of ribbon in total to use for two presents. For the first present Luis used [tex]2\frac{1}{2}[/tex] yards of the ribbon.
Since she had [tex]3\frac{1}{3}[/tex] yards in total and she used [tex]2\frac{1}{2}[/tex] yards from it, the amount of ribbon left for second present can be obtained by taking out(subtracting) [tex]2\frac{1}{2}[/tex] yards from [tex]3\frac{1}{3}[/tex].
So, the number of yards of ribbon left for second present will be:
[tex]3\frac{1}{3}-2\frac{1}{2}\\\\ =\frac{10}{3}-\frac{5}{2}\\\\ =\frac{10(2)-5(3)}{2 \times 3}\\\\ =\frac{20-15}{6}\\\\ =\frac{5}{6}[/tex]
This means Luis had [tex]\frac{5}{6}[/tex] yards of ribbon for the second present.