Write the recurring decimal 0.473737373... as a fraction.
1 answer:
Answer:

Step-by-step explanation:
We require 2 equations with the repeating digits after the decimal point.
By subtracting the 2 equations eliminates the repeating digits.
let x = 0.47373737.....
Multiply both sides by 100 and 10000, that is
100x = 47.3737... → (1)
10000x = 4737.3737.... → (2)
Subtract (1) from (2)
9900x = 4690 ( divide both sides by 9900 )
x =
=
← in simplest form
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