prove 15/33 = 0.45454545
2007-06-04 06:30:06 · 4 answers · asked by nothingspecial 1 in Science & Mathematics ➔ Mathematics
prove actually means use algebra.Therefore correct method is as follows:
Let x = 0.454545454...
then 100x = 45.454545....
Subtracting the second equation from the first gives us:
99x = 45
Therefore, x = 45 / 99
which cancels down to 15 / 33.
Thus proven.
If the recurring part consisted of 3 numbers repeating you would initially multiply by 1000 . The key is to keep the two decimal parts the same so they will cancel each other out.
Hope this makes sense.
2007-06-05 08:11:25 · answer #1 · answered by samthedog 3 · 0⤊ 0⤋
15 / 33
= 5 / 11
= 0 . 45454545
2007-06-05 00:12:41 · answer #2 · answered by Como 7 · 0⤊ 0⤋
bring to the lowest fraction 15/33 =5/11
divide 5 by 11 = 0.4545454545*
*means 45reocurring
2007-06-04 23:15:05 · answer #3 · answered by billako 6 · 0⤊ 0⤋
15/33 = 5/11
5/ (10+1) = 5 * (10+1) -1 = 0.5 (1+.1) ^-1
binomial expansion of (1+.1)^-1
= 0.5 ( 1 - .1 + .01 - .001 + .0001 + ....) group two together
=0.5(.9 + .009 + .00009 + ......)
=.4545454545
2007-06-05 03:09:42 · answer #4 · answered by welcome news 6 · 0⤊ 0⤋