Question #f4d7a

1 Answer
Feb 6, 2018

= -2 7/12=2712

Explanation:

There is no need to get confused....... count the number of terms and then simplify each term separately.

In the last step you can add the answers to the terms together,

Terms are separated by + and -+and signs, so there are 22 terms:

color(blue)((-2/3)/(1/4))" "+" "color(red)(1/2xx1/2xx1/3)2314 + 12×12×13

=color(blue)(-2/3 div1/4)" "+" "color(red)(1/12" "(larr "top x top x top")/(larr"bottom x bottom x bottom")=23÷14 + 112 top x top x topbottom x bottom x bottom
color(white)(xx.xxx)darr×.×x
=color(blue)(-2/3 xx4/1)" "+" "color(red)(1/12)=23×41 + 112

=color(blue)(-8/3)" "+" "color(red)(1/12)" "larr=83 + 112 find a common denominator
" "darr
color(blue)(-8/3 xx 4/4)83×44
" "darr
=color(blue)(-32/12" "+" "color(red)(1/12)" "larr=3212 + 112 now add the numerators

=(-32+1)/12=32+112

=-31/12=3112

= -2 7/12=2712