What is #-8##3/4# #+ (-13 + (-5.9))#?

1 Answer
Mar 10, 2018

#=>color(purple)(-27(13/20)# or #=> color(purple)( -27.65)#

Explanation:

#-8(3/4) + (-13 + (-5.9))#

#-8(3/4) + (-13 - 5.9)# Removing inner bracket.

#-8(3/4) -13 - 5.9# Removing outer bracket.

#-(35/4) - 13 - (59 / 10)# converting to improper fractions.

Finding L C M of 4 , 10.

#4 = color(red)(2) * 2#, #10 = color(red)(2) * 5#

#L C M = 2 * * 5 = 20#

# => - (35 * 5 ) / (4 * 5) - ((13 * 20) / 20) - (59 * 2) / (10 * 2)#

#=> (-(175/20) - (260/20) - (118/20))#

#=> - (175 + 260 + 118) / 20# taking minus sign out.

=> #-553 / 20 = color(purple)(-27(13/20)#

=> -(553)/20 = -(553 * 5) / (20 * 5)#

=> - (2765/ 100)#

=> #color(purple)( -27.65)#