How do you evaluate #\frac{19}{15}\div 3\frac{7}{12}#?

1 Answer
Jun 28, 2017

#76/215#

Explanation:

#\frac{19}{15}\div 3\frac{7}{12}#

Solution

Note #-># #3 7/12 = (12 xx 7 + 3)/12 = 43/12#

Hence #19/15 div 43/12#

When you transpose a fraction with #div# sign, the numerator and the denominator will interchange..

Then, we have #-># #19/15 xx 12/43#

#19/cancel15_5 xx cancel12^4/43#

#(19 xx 4)/(5 xx 43)#

#76/215#