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