Stephanie ran 1 lap in 6 minutes. At this rate, how far would she run in 30 minutes?

We know that 6 goes into 30 five times, so multiply the amount of laps in 6 minutes by 5.

(6 × 5 = 30)

1 × 5 = 5

Stephanie will run 5 laps in 30 minutes.

5 laps in 30 minutes

Step-by-step explanation: To solve this problem, our first step is to write down the unit ratio that is involved.

In this case, it's laps/minutes.

Next, we set up a proportion based on the information in the problem.

We know that Stephanie can run 1 lap in 6 minutes.

So we can set up the ratio 6/1.

We're asked how many laps she would run if she

has been running for 30 minutes.

So that's x/30.

Now, our proportion reads .

Notice that the 30 minutes must go on the bottom in our second ratio because our unit ratio tells us that we put laps/minutes.

Solving from here, we use the means-extremes property.

The product of the extremes,

(1)(30) equals the product of the means, (6)(x).

So we have (1)(30) or 30 equals (6)(x) or 6x.

So 30 = 6x.

Dividing both sides by 6, 5 = x.

This means that Stephanie will have traveled 5 laps in 30 minutes.

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b