In Hawai's Kona Iron Man competition, Gretchen swims the first #1/7# of a mile in 70 minutes. At this pace, how many minutes will it take for Gretchen to swim the entire #2 2/5# mile course?

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Answer 1 · 2018-05-30T17:49:24

#84/5 * 70 min = 1176 min#

#2 2/5 divide 1/7#

First let's unmix the fraction:

#2+2/5#

find common denominator "5"

#5/5*2/1+2/5#

#10/5+2/5 = 12/5#

okay now we have:

#12/5 divide 1/7#

Division of fractions is the same thing as multiplication of either terms inverse:

#12/5 divide 1/7 = 12/5 times 7/1#

#12/5 times 7/1 = 84/5#