Andrea worked for #5 2/3# hours on Monday, #6 1/2# hours on Tuesday, #5 3/4# hours on Wednesday, # 7 1/2# hours on Thursday, and #6 1/4# hours on Friday. What is the average number of hours Andrea worked that week?

1 Answer
Oct 2, 2016

#=6 1/3# per day

Explanation:

  1. Find sum of all hours worked.
    #5 2/3# + #6 1/2# + #5 3/4# + #7 1/2# + #6 1/4#
    a. Find the sum of the whole numbers
    #5 + 6 + 5 + 7 + 6 = 29#
    b. Find the common denominator of all fractions (#=12#), convert the fractions and then find the sum.
    #8/12 + 6/12 + 9/12 + 6/12 + 3/12 = 32/12#
    #=2 2/3#
    c. Add both sums.
    #29 + 2 2/3 = 31 2/3#

  2. Find average by dividing sum by 5.
    #95/3 * 1/5 = 19/3#
    #=6 1/3#