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Suppose F = 0.461538461538...
Then 1000000F = 461538.461538...
Subtracting the first from the second gives 999999F = 461538
Note that the number of 9s is the same as the length of the repeating string.
Therefore F = 461538/999999 which can be simplified to 6/13.
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What is 0.4615384615 as a improper fraction?
To convert the decimal 0.4615384615 to an improper fraction, we first note that this is a repeating decimal with the repeating pattern 461538. To convert this to a fraction, we can set x = 0.4615384615 and multiply by a power of 10 to shift the decimal point: 1000000x = 461538.4615. Subtracting the original equation from this new one gives 999999x = 461538, so x = 461538/999999. This fraction can be simplified by finding the greatest common divisor of 461538 and 999999, which is 3, resulting in the improper fraction 153846/333333.
How can a repeating decimal turn into fraction?
decimal and repeating bar
What is the answer 0.123 repeating turn into fraction?
If all three digits are repeating then as a fraction it is 41/333 in its simplest form
How do you turn 0.113 repeating into a fraction?
113/999
How do you turn 1.5 repeating into a fraction?
It is 1 5/9.
What is 0.4615384615 as a improper fraction?
To convert the decimal 0.4615384615 to an improper fraction, we first note that this is a repeating decimal with the repeating pattern 461538. To convert this to a fraction, we can set x = 0.4615384615 and multiply by a power of 10 to shift the decimal point: 1000000x = 461538.4615. Subtracting the original equation from this new one gives 999999x = 461538, so x = 461538/999999. This fraction can be simplified by finding the greatest common divisor of 461538 and 999999, which is 3, resulting in the improper fraction 153846/333333.
How can a repeating decimal turn into fraction?
decimal and repeating bar
What is the answer 0.123 repeating turn into fraction?
If all three digits are repeating then as a fraction it is 41/333 in its simplest form
How do you turn 0.113 repeating into a fraction?
113/999
How do you turn 1.5 repeating into a fraction?
It is 1 5/9.
What is 461538 as a fraction in simplest form Sorry for making you do all this math?
Don't apologize. That's what we're here for. There's not much math to do here. In the absence of a decimal point, that's 461538/1
What is 1.142857 repeating as a fraction?
Oh, what a happy little question! When we see a repeating decimal like 1.142857, we can turn it into a fraction by noting that the repeating part is 142857. To convert this to a fraction, we put this repeating part over a series of nines equal to the number of repeating digits, which gives us 142857/999999. And just like that, we've turned our repeating decimal into a lovely fraction.
What is 7858 divided by 13?
604.4615
How do you you turn 0.444 into a fraction?
444/100 unless that's repeating, in which case it is 4/9
How do you turn 74.6666 into a fraction?
If it's a 6 repeating decimal then it is 224/3 if not then it is 746666/10000
What is 0.194 as a repeating fraction?
what is 0.194 as a repeating fraction
What is 0.78 repeating as a fraction?
0.78 repeating as a fraction = 78/99
