How do you simplify#(4/5 + 2/4)/20#?

1 Answer
Nov 11, 2017

Answer:

Find LCD on top and add the fractions.
Flip division into multiplication.
#13/200#

Explanation:

#(4/5 + 2/4)/20#

work the numerator by finding a common LCD so we can make it one term
#4/5 + 2/4 = 4/5 + 1/2#

#4/5 + 1/2" "# LCD is #10 = 5*2#

#((4*2)/(5*2) + (1*5)/(2*5))/20#

#8/10 + 5/10 = 13/10#

#(13/10)/20# which means #13/10 div 20#

inverse of division is multiplication

inverse of 20 is #1/20# because #20/1 * 1/20 = 1#

#13/10 * 1/20#

#= 13/200#