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0.3 repeating is 0.333333333333 which can be rounded to 0.34 or even say 0.35 and

that means you are comparing 0.34 or 0.35 with 0.8 which is the same as 0.80. So is

80/100 greater than 34/100 or even 35/100. The answer is yes. So 0.3 repeating is

not greater than 0.8

Another approach: You know that 0.333 repeating is in fraction form 1/3. Likewise,

0.8 is 8/10. Let's compare 1/3 and 8/10. The least common denominator is 30 and so

the two fractions become 10/30 and 24/30 and obviously 10/30 is less than 24/30.

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0.3 repeating is 581/3% less than 0.8 .

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Q: Is 0.3 repeating greater than 0.8?
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