How do you convert 0.83 (3 repeating) to a fraction?
February 20th, 2023
##” so “x= 0.8bar3 = 5/6##
To format this question type you write: 0.8bar3
But you use the hash key just before 0.8bar3
and also at the end. So you end up with
##” “0.8bar3##
‘~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let ##x=0.8bar3##
Then ##10x = 8.bar3##
So ##(10x-x)=” ” 8.3333bar3##
##” “underline(0.8333bar3-## Subtracting
##” “7.5##
##” “9x = 7.5##
Multiply both sides by 10
##” “90x=75##
Divide both sides by 90
##” “x=75/90 = 5/6##
##” so “x= 0.8bar3 = 5/6##