What is #3 8/9 + 4 5/27#?

2 Answers
Mar 24, 2018

#3(8)/9+4(5)/27=35/9+113/27=(105+113)/27=218/27=8(2)/27#

Explanation:

We have,

#3(8)/9+4(5)/27=3+8/9+4+5/27#

#=(3xx27+8xx3+4xx27+5xx1)/27#

#=(81+24+108+5)/27#

#=218/27#

#=8(2)/27#

Mar 24, 2018

#8 2/27#

Explanation:

You can work with the whole numbers and fractions separately.
This makes the numbers smaller to work with.

#color(blue)(3) 8/9 +color(blue)(4) 5/27#

#=color(blue)(7) +8/9+5/27" "larr# find a common denominator #(LCM)#

#= 7 (24+5)/27" "larr (8/9 xx3/3=24/27)#

#=7 color(green)(29/27)#

#=7 +color(green)(1 2/27)#

#=8 2/27#