Question

For every 1/2 mile that Sira jogs, she walks 3/4 mile. What unit rate gives the number of miles Sira jogs for every mile she walks?

Answer 1

The unit rate is `2/3`

With units of measurement we have:`" "2/3` miles jogged per mile walked

Explanation:

The clue is the wording part: "the number of miles jogged for every mile she walks".

What is on each side of the word 'for' tells you which way round the format is.

So we have `("something")/("miles walked = 1")`

The 'something' is miles jogged.

So initial condition `->(1/2" mile jogged")/(3/4"miles walked")`

To make this 'unit rate' we need to change `3/4` miles walked into 1 mile walked (unit->1)

To change `3/4` into 1 multiply by `4/3`

What we do to the bottom we also do to the top for multiply or divide giving:

`(1/2xx4/3)/(3/4xx4/3) = (4/6)/1`

So the unit rate is `4/6-=2/3`