How do you simplify #15\frac { 3} { 4} \div ( - \frac { 1} { 12} )#?

1 Answer
Sep 14, 2017

#-189#

Explanation:

#15\frac { 3} { 4} \div ( - \frac { 1} { 12} )#

Using BODMAS

#15 3/4 div (- 1/12)#

#15 3/4 div -1/12#

Note that any symbol like minus sign or plus sign is always attached to the numerator only..

Converting the mixed fraction to improper fraction

#15 3/4 = (4 xx 15 + 3)/4 = 63/4#

#63/4 div - 1/12#

Transposing..

e.g. #-> a/b div c/d rArr a/b xx d/c#

#rArr 63/4 div - 1/12#

#rArr 63/4 xx - 12/1#

#rArr 63/cancel4_1 xx - cancel12^3/1#

#rArr 63 xx - 3#

#rArr -189#