How do you evaluate #[- \frac { 1} { 18} + ( - \frac { 5} { 12} \cdot \frac { 4} { 15} ) ] \div \frac { 17} { 30}#?

1 Answer
Apr 11, 2018

Please look below.

Explanation:

#[-1/18 + (-5/12 xx 4/15)] div 17/30#

# = [-1/18 + ((-5 xx 4)/(12 xx 15))] div 17/30#

#= [-1/18 + ((-1 xx 1)/(3 xx 3))] div 17/30#

# = [-1/18 -1/9] div 17/30#

# = [-1/18 - 2/18] div 17/30#

#= -3/18 div 17/30#

# =-1/6 xx 30/17#

#= (-1 xx 30)/(6 xx 17)#

#= (-1 xx 5)/(1 xx 17)#

#= -5/17#