How do you simplify #3 3/10 div 2 2/5#?

1 Answer
Jim G.
Nov 26, 2016

#33/24=1 3/8#

Explanation:

The method for the division of 2 mixed numbers is.

#•" Convert to improper fractions"#

#•" Change division to multiplication"#

#•" Leave the first fraction and 'invert' the second"#

#•" Simplify by cancelling"#

#rArr3 3/10=33/10larr" improper fraction"#

#" and "2 2/5=12/5#

#rArr33/10÷12/5=33/10xx5/12larr" multiply and invert"#

#=33/cancel(10)^2xxcancel(5)^1/12=(33xx1)/(2xx12)#

#=33/24=1 9/24=1 3/8#

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