Question

If, while training for a marathon, you ran 68 miles in

2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)
Write your answer as a whole number, proper fraction, or mixed number in simplest form.

Answer 1

25 1/2

Explanation:

You need to divide 68 miles by 2 2/3 months.

68/(2 2/3) =

= 68/(8/3)

= 68 * 3/8

= 68/1 * 3/8

= 204/8

= 102/4

= 51/2

= 25 1/2

Answer 2

25½ mi/mo

Explanation:

Distance = rate × time

d = rt Divide each side by t

r = d/t

Data:

d = 68 mi

t = 2⅔ mo

Calculation:

r = 68/(2⅔) Convert denominator to improper fraction

= 68/(⁸/₃) Invert the denominator and multiply

= ⁶⁸/₁ × ³/₈ Multiply the numerators and denominators

= ²⁰⁴/₈ Reduce to simplest terms

= ⁵¹/₂ Convert to mixed number

= 25½ mi/mo

On average, you ran 25½ miles each month.