A backhoe can dig 5/10 of a ton of dirt in 1/6 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

The unit rate is 3 tons per hourStep-by-step explanation:the unit rate is calculated fr quantity per unit timeSo,GivenTon of dirt dug = d = 5/10Time = t = 1/6So the unit rate will be:[tex]Unit\ rate = \frac{d}{t} \\= \frac{\frac{5}{10} }{\frac{1}{6} }[/tex]The complex fractions like these are simplified by multiplying the numerator with the reciprocal of denominatorso,[tex]Unit\ rate = \frac{5}{10} * 6\\= \frac{30}{10}\\= 3\ ton\ per\ hour[/tex]Hence,The unit rate is 3 tons per hourKeywords: Unit rate, unitsLearn more about unit rates at:brainly.com/question/4354581brainly.com/question/4361464#LearnwithBrainly