What is the average speed of Julie if it took her ¾ of an hour to run 3½ miles?

To find the average speed, you need to use the formula for speed, which is distance divided by time. In this case, Julie ran a total distance of 3½ miles. To perform the calculations, it’s helpful to convert mixed numbers into improper fractions or decimals.

First, let's convert 3½ miles into an improper fraction:

3½ can be expressed as (3 × 2 + 1)/2, which equals 7/2 miles.

Next, we know that it took her ¾ of an hour. This can also be expressed as a fraction:

¾ hours is already in fractional form.

Now, we can calculate her average speed:

Average speed = Distance / Time = (7/2 miles) / (3/4 hours).

When dividing fractions, you multiply by the reciprocal of the denominator:

= (7/2 miles) × (4/3 hours) = (7 × 4) / (2 × 3) miles per hour

= 28/6 miles per hour.

Now, we simplify 28/6:

28 divided by 6 equals 4⅔.

Therefore, Julie's average speed is indeed 4⅔ miles per hour. This matches the value for the