What is 0.2467 (467 repeating) as a fraction?

Mathematics

2 answers:

kompoz [17]4 years ago

7 0

Answer:

$\frac{493}{1998}$

Step-by-step explanation:

Given

0.2467467467........

We require 2 equations with the repeating part after the decimal point.

Let x = 0.2467467....

Multiply both sides by 10

10x = 2.467467... → (1)

Multiply both sides by 10000

10000x = 2467.467467.... → (2)

Subtract (1) from (2) to eliminate the repeating part

9990x = 2465 ( divide both sides by 9990 )

x = $\frac{2465}{9990}$ = $\frac{493}{1998}$

Mashcka [7]4 years ago

7 0

Well, 0.2467 can be rounded into the common decimal, 0.25. 0.25, translates into a fraction, would give you 1/4. Hope this helps, have a nice day :)

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