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balu736 [363]
2 years ago
15

Write the recurring decimal 0.473737373... as a fraction.​

Mathematics
1 answer:
Semenov [28]2 years ago
4 0

Answer:

\frac{469}{990}

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 = \frac{4690}{9900} = \frac{460}{990} ← in simplest form

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