Divide Fractions by Fractions Practice Test

A rectangular garden plot has an area of $$\frac{5}{6}$$ square meters and a length of $$\frac{5}{4}$$ meters. If the garden is divided into smaller rectangular sections, each with a width equal to the original garden's width, and each section has a length of $$\frac{1}{3}$$ meter, how many complete sections can be formed?

A recipe for trail mix calls for $$\frac{5}{8}$$ cup of nuts. Sarah wants to make multiple smaller portions, where each portion contains $$\frac{3}{4}$$ of the nuts called for in the original recipe. If she has $$2\frac{1}{8}$$ cups of nuts available, and after making as many complete smaller portions as possible she uses the remaining nuts to make one final portion at $$\frac{1}{2}$$ the original recipe size, will she have enough nuts?