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question 96
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convert \\(\frac{3}{25}\\) to decimal form. rounding off to the nearest tenth if necessary.
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question 97
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convert \\(\frac{6}{5}\\) to decimal form. rounding off to the nearest tenth if necessary.
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question 98
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convert \\(\frac{5}{11}\\) to decimal form. rounding off to the nearest tenth if necessary.
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Explanation:

Question 96

Step1: Divide numerator by denominator

To convert \(\frac{3}{25}\) to a decimal, we perform the division \(3\div25\).
\(3\div25 = 0.12\)

Step2: Round to nearest tenth (if needed)

The number \(0.12\) to the nearest tenth: look at the hundredth place (2), which is less than 5, so we keep the tenth place as is. So \(0.12\approx0.1\)? Wait, no, wait. Wait, \(0.12\) to the nearest tenth: the tenths place is 1, hundredths is 2. Since 2 < 5, we round down, so \(0.12\) rounded to the nearest tenth is \(0.1\)? Wait, no, wait, \(0.12\) is 0.1 when rounded to the nearest tenth? Wait, no, \(0.12\) is 0.1 (tenth place) and 2 in hundredths. So yes, 0.1. But wait, actually, \(3\div25 = 0.12\), which is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is closer to 0.1 than 0.2? Wait, 0.12 - 0.1 = 0.02, 0.2 - 0.12 = 0.08. So yes, 0.1. But wait, maybe I made a mistake. Wait, \(3\div25 = 0.12\), which is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is 0.1 (tenth) and 2 (hundredth). So rounding to nearest tenth: 0.1. But wait, actually, 0.12 is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is 0.1 (tenth place) and 2 in hundredths. So since 2 < 5, we round down, so 0.1. But wait, maybe the problem doesn't require rounding? Wait, the problem says "Rounding off to the nearest tenth if necessary". Let's check the decimal. \(3\div25 = 0.12\), which is a terminating decimal. The tenths place is 1, hundredths is 2. So if we round to the nearest tenth, it's 0.1? Wait, no, 0.12 is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is 0.1 (tenth) and 2 (hundredth). So yes, 0.1. But wait, maybe I miscalculated the division. Wait, 25 times 0.1 is 2.5, 25 times 0.12 is 3. So 3 divided by 25 is 0.12. So to the nearest tenth, 0.1? Wait, no, 0.12 is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is 0.1 (tenth) and 2 (hundredth). So since 2 < 5, we round down, so 0.1. But wait, maybe the problem doesn't need rounding? Wait, the problem says "Rounding off to the nearest tenth if necessary". Let's see, 0.12 is a two - decimal number. If we need to round to the nearest tenth, it's 0.1. But wait, maybe I made a mistake. Wait, 3 divided by 25: 25 goes into 3 zero times. Add a decimal point, 25 goes into 30 once (25), remainder 5. Bring down a zero: 50. 25 goes into 50 twice. So 0.12. So 0.12 to the nearest tenth is 0.1.

Step1: Divide numerator by denominator

To convert \(\frac{6}{5}\) to a decimal, we perform the division \(6\div5\).
\(6\div5 = 1.2\)

Step2: Round to nearest tenth (if needed)

The number \(1.2\) is already to the nearest tenth (the tenths place is 2, and there is no hundredth place to consider for rounding as it's a terminating decimal with one decimal place). So no rounding is needed.

Step1: Divide numerator by denominator

To convert \(\frac{5}{11}\) to a decimal, we perform the division \(5\div11\).
\(5\div11 = 0.4545\cdots\) (it's a repeating decimal, \(0.\overline{45}\))

Step2: Round to nearest tenth (if needed)

To round \(0.4545\cdots\) to the nearest tenth, we look at the hundredth place, which is 5. When the digit in the hundredth place is 5 or more, we round up the tenths place. So the tenths place digit is 4, and we round it up to 5. So \(0.4545\cdots\approx0.5\)

Answer:

0.12 (or 0.1 if rounded to nearest tenth, but actually 0.12 is exact, and when rounded to nearest tenth, it's 0.1? Wait, no, 0.12 is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is 0.1 (tenth) and 2 (hundredth). So 0.12 rounded to the nearest tenth is 0.1. But maybe the problem expects the exact decimal? Wait, the problem says "Rounding off to the nearest tenth if necessary". Let's check the decimal. 0.12 is a terminating decimal. The tenths place is 1, hundredths is 2. So if we round to the nearest tenth, it's 0.1. But maybe the problem doesn't require rounding. Wait, 3/25 is 0.12, which is 0.12. If we round to the nearest tenth, 0.1. But let's confirm. 0.12: the digit in the tenths place is 1, the digit in the hundredths place is 2. Since 2 < 5, we round down, so 0.1. But maybe the problem wants the exact decimal. Wait, the problem says "Rounding off to the nearest tenth if necessary". So if the decimal has more than one decimal place, we round to the nearest tenth. So 0.12 rounded to the nearest tenth is 0.1. But wait, maybe I made a mistake. Wait, 0.12 is 0.1 when rounded to the nearest tenth? Wait, no, 0.12 is 0.1 (tenth) and 2 (hundredth). So yes, 0.1. But let's check with a calculator. 3 divided by 25 is 0.12. Rounded to the nearest tenth is 0.1.

Question 97