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zloy xaker [14]
3 years ago
14

How many digits are there in the smallest sequence of repeating digits in the decimal equivalent of 5/9

Mathematics
1 answer:
mestny [16]3 years ago
8 0

Answer:

1

Step-by-step explanation:

5/9 = 0.5555555

The smallest sequence of repeating digits in the decimal equivalent of 5/9

0.5

0.5 + 0.05

0.5 + 0.05 + 0.005

0.5 + 0.05 + 0.005 + 0.0005

Hence, the number of digit in the smallest sequence of repeating decimal is 1

5/9 = 0.5....

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so 3.5:1.06 and is the same as 50.5:x
we treat it as a fraction and get
3.5/1.06 and x/50.5

they should be equal
we know that if we multiply two equal fractions, with one flipped, then we will get 1 exg 1/2=4/8    1/2 times 8/4=8/8=1

so 3.5/1.06=x/50.5    3.5/1.06 times 50.5/x=1
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