A carp can travel at a speed of #3 7/10# miles per hour. At this rate, how far can a carp travel in #2 1/2# hours?

1 Answer
Dec 23, 2016

#9 1/4" miles"#

Explanation:

#"1 hour "rarr" travels "rarr " 3 7/10 #miles

#2 1/2" hours "rarr" travels " rarr 3 7/10xx2 1/2#miles

The solution involves the #color(blue)"multiplication of 2 mixed numbers"#

The method for multiplying mixed numbers is.

#•" Convert mixed numbers to improper fractions"#

#•" Simplify by cancelling any common factors"#

#rArr3 7/10=37/10" and " 2 1/2=5/2#

#rArr37/10xx5/2=37/cancel(10)^2xxcancel(5)^1/2larr" cancel by 5"#

#=(37xx1)/(2xx2)=37/4=9 1/4#

#"Hence the carp travels " 9 1/4" miles in " 2 1/2" hours"#