Can 0.5473... be written as a fraction? and what kind of decimal is it

1 answer

Yes, 0.5473... can be written as a fraction. To determine the fraction, let's call it x, and multiply both sides by 10000 to eliminate the decimal:

10000x = 5473.5473...

Now, subtract x from both sides:

10000x - x = 5473.5473... - 0.5473...

This simplifies to:

9999x = 5473

Divide both sides by 9999:

x = 5473/9999

Therefore, 0.5473... can be written as the fraction 5473/9999.

As for the type of decimal, 0.5473... is a repeating decimal, as it has a repeating pattern of 5473.