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.

25 1/2

Step-by-step 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

25½ mi/mo  

Step-by-step 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.