What is the average (mean) distance you walked?

Mon-1 2/3 mi.
Tues- 2 3/4 mi
Wed - 3 1/3 mi.
Thurs. - 1 2/3 mi.
Fri - 2 3/4 mi.

You plan to walk on Saturday. How far must you walk on this day so that your 6 day average is 2 1/2 miles?

average = sum/5

average = (previous sum + x)/6
2.5 = (previous sum + x)/6
15 = previous sum + x
x = 15 - previous sum

sum = 1 8/12 + 2 9/12 + 3 4/12 + 1 8/12 + 2 9/12

sum = 9 + 38/12 = 9 + 3 2/12 = 12 1/6
av = (12 1/6) / 5
av = 2 2/30 = 2 13/30

part 2
x = 15 - 12 1/6
x = 14 6/6 - 12 1/6
x = 2 5/6

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If your doing that then find if its a decimal if so you only put 2 or 3 threes

To find the average distance you walked, you need to calculate the sum of all the distances and divide it by the number of days. In this case, you walked for 5 days (Monday to Friday).

To calculate the sum, convert all the distances to fractions or decimals, add them together, and then divide by 5. Let's do the calculations step by step:

Monday: 1 2/3 miles = (5/3) miles
Tuesday: 2 3/4 miles = (11/4) miles
Wednesday: 3 1/3 miles = (10/3) miles
Thursday: 1 2/3 miles = (5/3) miles
Friday: 2 3/4 miles = (11/4) miles

Now, add all these distances together:
(5/3) + (11/4) + (10/3) + (5/3) + (11/4)

To simplify, find a common denominator for the fractions. Let's use 12:

(20/12) + (33/12) + (40/12) + (20/12) + (33/12)

Now, add the numerators while keeping the same denominator:
(20 + 33 + 40 + 20 + 33)/12

The sum of the distances is 146/12 miles.

To find the 6-day average as 2 1/2 miles, we set up the equation:
(146/12 + x)/6 = 2 1/2

Now, solve for x, which represents the distance you need to walk on Saturday:

(146/12 + x) = 6 * (5/2)
146/12 + x = 15/2

To isolate x, subtract 146/12 from both sides:
x = 15/2 - 146/12

Now, simplify the right side and get a common denominator:
x = (90/12 - 146/12)

Combine the numerators:
x = (-56/12)

Simplify the fraction and convert it to a mixed number:
x = -4 2/3 miles

Therefore, you need to walk approximately 4 2/3 miles on Saturday to maintain an average of 2 1/2 miles over 6 days.