How do you convert .63 repeating to a fraction?
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Question “How do you convert .63 repeating to a fraction?”
How do you convert .63 repeating to a fraction?
Answer
Explanation:
To indicate repeated digits, I will use bar notation. A bar is placed over the sequence of digits that are repeated…
0.63636363… = 0.bar(63)0.63636363…=0.—-63
Multiply this repeated decimal by
(100-1) 0.bar(63) = 63.bar(63) = 0.bar(63) = 63(100-1)0.—-63=63.—-63=0.—-63=63
Then divide both sides by
0.bar(63) = 63/(100-1) = 63/99 = (7*color(red)(cancel(color(black)(9))))/(11*color(red)(cancel(color(black)(9)))) = 7/11
0
.
—-63
=
63100-1
=
6399
=
7
9
11
9
=
711
Vielleicht you meant
Multiply by
10(10-1) 0.6bar(3) = 63.bar(3) – 6.bar(3) = 5710(10-1)0.6-3=63.-3-6.-3=57
Then divide both sides by
0.6bar(3) = 57/(10(10-1)) = 57/90 = (19*color(red)(cancel(color(black)(3))))/(30*color(red)(cancel(color(black)(3)))) = 19/30
0.6
-3
=
5710(10-1)
=
5790
=
19
3
30
3
=
1930
Conclusion
Above is the solution for “How do you convert .63 repeating to a fraction?“. We hope that you find a good answer and gain the knowledge about this topic of algebra.