How do you simplify #5 [1/2 + (3/5 times 5/6) div 5/8]# using PEMDAS?

1 Answer
Apr 30, 2018

Answer:

#13/2 = 6 1/2#

Explanation:

#5[1/2+ color(red)((cancel3/cancel5 xxcancel5/cancel6_2)) div 5/8]#
#color(white)(xxxxxxx)color(red)(darr)#
#=5[1/2+color(red)(1/2) div5/8]#

#=5[1/2 + color(blue)(1/cancel2 xxcancel8^4/5)]" "larr# multiply by the reciprocal
#color(white)(xxxxxxxxx)color(blue)(darr)#
#=5[1/2" + "color(blue)(4/5)]#

#=5[(5+8)/10]#

#=cancel5 xx13/cancel10_2#

#=13/2#

#=6 1/2#