Question

13/36=0.361111111 how would i reverse a decimal back to a fraction

Answer 1

a=0.36111111111111...

100a =36.11111111111....
1000a =361.1111111111....

subtract 1000a-100a=361.1111111...-36.111111...=325
so a=325/900
then simplify that

Answer 2

why is it over 900 though i dont understand

Answer 3

because im trying to get 0.36111111111... back to 13/36

Answer 4

\[x=0.361111111\]
\[9x=0.361111111\times 9\]\[=0.3\times9+0.06\times9+0.00\dot1\]\[=2.7+0.54+0.00\dot9\]\[=2.7+0.54+0.01\]
\[9x=2.7+0.55\]\[\quad=3.25\]\[x=3.25/9\]\[x=\frac{3+1/4}9\]

Answer 5

\[x=\frac{13/4}9\]

Answer 6

if you simplify the 325/900=13/36

Answer 7

where did u get the 900 from is what im stuck at

Answer 8

1000a-100a=900a

Answer 9

what is the fastest way to simplyfly 325/900

Answer 10

cancel the common factor of 25