Jariah walks 2 1/2​ miles in 3/4​ of an hour. If Jariah continues at this rate, how far will she walk in 1 hour?

Question

You need to divide 3/4of an hour by 3/4​ to find 1 hour. To keep the ratio the same, you also need to divide 2 1/2 miles by 3/4​. Start by writing 2 1/4 ​divided by 3/4​ as a multiplication expression.

Answer 1

To find how far Jariah will walk in 1 hour, you need to divide 2 1/2 miles by 3/4.

2 1/2 ÷ 3/4

To divide by a fraction, you can multiply by its reciprocal:

2 1/2 x 4/3

Convert 2 1/2 to an improper fraction:

5/2 x 4/3

Now, multiply the numerators and denominators:

(5 x 4) / (2 x 3) = 20/6

Simplify the fraction:

20/6 = 10/3

Therefore, Jariah will walk 10/3 miles in 1 hour.