recurring decimals to fractions
Hello, How would I convert 0.24444... (just the 4 recurring) into a fraction?
Answers
If you take just 0.24, then to convert this to a fraction it is
24/100 = 6/25.
Taking 0.244 converts as a fraction to
244/1000 = 61/250
which is approximately 6/25 dividing each side by 10.
Taking 2444/10000 and so on, you would also get an answer which is approximately 6/25.
Therefore, converting 0.2444...(with the 4 recurring) to a fraction is 6/25.
11 February 2011
Slight correction to above solution:
244/1000 = 61/250
which is approximately 6/25 when dividing both the numerator and denominator (i.e., top and bottom) by 10.
Hope this helps.
11 February 2011
How to turn 0.24 (with the 24 part repeating) into a fraction?
26 January 2024
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