Understand Fractions as Unit Fraction Multiples Practice Test

Three students are discussing the fraction $$\frac{10}{3}$$. Luis says it equals $$10 \times \frac{1}{3}$$. Maya says it equals $$5 \times \frac{2}{3}$$. Carlos says it equals $$2 \times \frac{5}{3}$$. If all three students are using correct mathematical reasoning, what can we conclude?

A baker needs to understand that $$\frac{8}{5}$$ cups of sugar equals some number of $$\frac{1}{5}$$-cup portions. She also needs to know how many $$\frac{2}{5}$$-cup portions this same amount represents. Which pair of equations correctly shows both relationships?