Yes, it is 6/9 and it is bigger than 6/10
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Six tenths is greater than six hundredths. This is because a tenth is larger than a hundredth. In decimal form, six tenths is written as 0.6 and six hundredths is written as 0.06. Since 0.6 is greater than 0.06, six tenths is the greater value.
1,287.54 + 0.6 = 1,288.14
No - 0.5 is equal to 5/10, one tenth smaller than six tenths.
Six tenths is 80% more than one third.
Converting them both to decimal form:8/10 = 0.8; 6/8 = 0.75. From that it's obvious which is larger.