change the decimal 0.45 reoccuring into a fraction in its lowest terms
2007-01-20 07:02:50 · 7 answers · asked by clemmie 2 in Science & Mathematics ➔ Mathematics
People aren't reading your question.....
x = 0.45454545454545.....
100x = 45.4545454545......
(100x - x) = 45.0000000.....
99x = 45
x = 45/99 = 5/11
2007-01-20 07:11:02 · answer #1 · answered by Jim Burnell 6 · 1⤊ 1⤋
First, one essential thing to know when doing this type of probem is that x/9 = 0.xxxx..., xy/99 = 0.xyxyxyxy..., xyz/999 = 0.xyzxyzxyz...
So, your decimal, using these facts, can be written as 45/99. To simplify, you can use prime factorization:
45 = 9 x 5 = 3 x 3 x 5
99 = 9 x 11 = 3 x 3 x 11
In this case you don't even need to go all the way. The 9s (or both 3s for each) cancel out, giving you 5/11. (If you had multiple numbers on the top and/or the bottom, you find the numerator and denominator by multiplying them all out, i.e. (3 x 5) / (2 x 7) = 15/14.) Check it on a calculator, dividing 5 by 11 gives you .45454545..., and you know it is simplified because one of them (actually both of them in this case) is a prime number (its only factors are 1 and itself).
2007-01-20 15:16:13 · answer #2 · answered by Random Thoughts 3 · 1⤊ 1⤋
0.45 = 45 / 100 = 5 *9 / 5 * 20 = 9 /20
2007-01-20 15:08:45 · answer #3 · answered by Tuncay U 6 · 0⤊ 1⤋
0.45=45/100 which can be reduced when dividing the numerator and denominator by 5=9/20
2007-01-20 15:11:45 · answer #4 · answered by Dave aka Spider Monkey 7 · 0⤊ 1⤋
9/20
2007-01-20 15:10:08 · answer #5 · answered by peanutbutter_33 2 · 0⤊ 1⤋
.45 = 45/100 = 9/20
2007-01-20 15:07:25 · answer #6 · answered by Anonymous · 0⤊ 1⤋
.45
45/100
9/20
2007-01-20 15:08:29 · answer #7 · answered by 7 · 0⤊ 1⤋