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Final answer:To round the fraction 41/13 to the nearest hundredth as a decimal, divide 41 by 13 to get 3.153846..., and then round up because the thousandths place is 8, which is greater than 5. The final rounded decimal is 3.15.Explanation:To convert the fraction 41/13 to a decimal and then round it to the nearest hundredth, first divide 41 by 13. The division will give you a decimal number. Once you have this, you look at the number in the thousandths place to see if you need to round up or down. If the number in the thousandths place is 5 or more, you round up. If it is less than 5, you round down.Using a calculator, 41 divided by 13 equals 3.153846... To round this to the nearest hundredth, we look at the number in the thousandths place, which in this case is 8 (as the number is 3.153...). Since 8 is greater than 5, we round the number up, giving us a final answer of 3.15....

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