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.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
A backhoe can dig 5/10 of a ton of dirt in 1/6 of a hour.
Determine the unit rate of the given.
Solution:
In order to determine the unit rate of the given, we simply needed to divide 5/10 by 1/6. Hence, when we divide a number by a fraction, we simply needed to take the reciprocal of the fraction, and then multiply it to the whole number. In our case since we have 1/6 the reciprocal of 1/6 is 6, therefore we multiply 6 to 5/10.
= 5/10 / 1/6
= (5/10)(6/1)
=30/10
= 3 tons per hour
Final answer:
= 3 tons per hour