write the repeating decimal as a the ratio of integers:0.463(63 repeating)?
回答 (3)
2018-11-19 4:56 pm
0.463ᵣ₂ = 0.1 + 0.363ᵣ₂ = 0.1 + 0.36ᵣ₂ = 1/10 + 36/99 = 1/10 + 4/11 = (11 + 40)/110 = 51/110
One nice thing with fractions is they fracture.
One nice thing with fractions is they fracture.
2018-11-19 1:16 pm
x = 0.4636363...
Since the repeat is 2 digits, multiply both sides by 100:
100x = 46.3636363...
Subtract the first equation from the second.
99x = 45.9
Multiply both sides by 10 to get rid of decimals:
990x = 459
Divide both sides by 990:
x = 459/990
Reduce to lowest terms by dividing top and bottom by 9:
x = 51/110
Answer:
51/110 = 0.46363636...
Since the repeat is 2 digits, multiply both sides by 100:
100x = 46.3636363...
Subtract the first equation from the second.
99x = 45.9
Multiply both sides by 10 to get rid of decimals:
990x = 459
Divide both sides by 990:
x = 459/990
Reduce to lowest terms by dividing top and bottom by 9:
x = 51/110
Answer:
51/110 = 0.46363636...
2018-11-19 2:32 pm
.463 = 463/1000
.6363.... = 63/99
.0006363..... = 63/99000
Thus the decimal = 463/1000 + 63/9900
(463*99 + 630)/99000 = 4647/99000
.6363.... = 63/99
.0006363..... = 63/99000
Thus the decimal = 463/1000 + 63/9900
(463*99 + 630)/99000 = 4647/99000
收錄日期: 2021-04-24 01:14:44
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