Question

It takes one week for a crew of workers to pave ⅗ kilometer of a road. At that rate, how long will it take to pave 1 kilometer? Write a multiplication equation and a division equation that represent the question and then answer the question. Show your reasoning.

Answer 1

We can set up a proportion to solve this problem

Have one side be our starting ratio: 7 days over 3/5 kilometers
have our other side be our missing ratio: x days over 1 kilometer

It will look something like this:
\(\huge \frac{7 ~days}{3/5 ~kilometers} = \frac{x~days}{1 ~kilometer}\)

or
\(\huge\frac{7}{3/5} = \frac{x}{1}\)

do you know how to solve a proportion that looks like this?