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0.33 recurring is the decimal equivalent of one third
Multiply both expressions by 3 and you have 0.99 recurring = 3/3 = 1
* * * * *
That is rather a circular argument, because it begs the question why 0.33 recurring equal to a third.
Instead, suppose f = 0.99....
multiply both sides by 10
10f = 9.99...
and since both numbers are recurring there is a nine in the same position after the decimal point in both equations.
Subtracting the first from the second gives: 9f = 9
Divide both sides by 9 and you have f = 1
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Is 4 over 9 equal to 1 over 6?
No - expressed as a decimal, 4/9 is equal to 0.4 recurring (that is, 0.44444...) while 1/6 is equal to 0.16 recurring (that is, 0.16666...)
What is 1 3 equal to as decimal?
1/3 = 0.3333 recurring
Does 0.99999999999999999 equal 1?
No. But if the 9s go on for ever - the infinitely recurring decimal fraction - will equal 1.
What is 1 and 4 fifeens equal to in a decimal?
Expressed as a decimal fraction, 1 and four fifteenths is equal to 1.26 recurring (that is, 1.266666...)
What is the fraction 1 of 30?
The decimal equivalent of 1/30 is equal to 0.03 recurring, or 0.03333..
