From Khan Academy
x=0.7777... 10x=7.7777...
therefore 9x=7 so x=7/9
Update: For more complicated numbers you need to multiply by the 10 to the power of the number of digits that repeats itself
Interesting that it may be possible to calculate this with a computer program using the modulus operator to check for a whole number.
Converting repeating decimals to fractions 2: Converting more interesting repeating decimals to fractions
No comments:
Post a Comment