How do you find #3\frac { 2} { 7} \div 1\frac { 1} { 4}#?

1 Answer
MeneerNask
Dec 20, 2016

First convert the mixed fractions:

Explanation:

#3+2/7=3xx7/7+2/7=(21+2)/7=23/7#

#1+1/4=1xx4/4+1/4=(4+1)/4=5/4#

Dividing is multiplying with the inverse:

#=23/7xx4/5=(23xx4)/(7xx5)=92/35#

We can take out #2#:

#=(70+22)/35=(2xxcancel35)/cancel35+22/35=2 22/35#

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