2006-11-05 09:47:36 · 3 answers · asked by Robert P 1 in Science & Mathematics ➔ Mathematics
So are you saying your fractions are .63636363... and .55555.... ?
If so, first let's convert each one of these to a fraction:
Let x = the fraction for .636363... that we are trying to find.
So, 99x = 100x-x = 63.636363...-0.636363... = 63.
So, x = 63/99 = 7/11
Similarly for 0.5555... we get:
9x = 10x-x = 5.5555...-0.5555... = 5
9x = 5, x = 5/9
So, 0.6363... = 7/11
and 0.5555... = 5/9
So the ratio of 0.6363... to 0.5555... is the ratio of 7/11 to 5/9, or
(7/11) / (5/9) = (7/11) * (9/5) = 63/55
Interesting how it worked out to the 100 * the first two digits in each of the original decimal representations, huh? :-)
2006-11-05 09:50:27 · answer #1 · answered by Anonymous · 1⤊ 0⤋
63/55 is correct
2006-11-05 09:56:45 · answer #2 · answered by MollyMAM 6 · 0⤊ 0⤋
.63636363.....=7/11
.55555555....=5/9
(7/11)/(5/9)=(7/11)(9/5)=63/55=1 8/55
2006-11-05 09:50:17 · answer #3 · answered by yupchagee 7 · 0⤊ 3⤋