If #A/B = 0.036363636...#, what is the value of #A + B#?

Question

1265 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-03T23:38:05

#A+ B = 57#

Let #10x = 0.bar36#. Then #1000x = 36.bar36#

Subtracting the two equations, we have:

#1000x = 36.bar36#
#-10x = 0.bar36#
#"-------------------------"#
#990x = 36#

#x = 36/990#

#x= 2/55#

Thus #A+ B = 2 + 55= 57#

Hopefully this helps!