To divide \(0.72\) by \(9\), you can follow these steps:
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Set up the division: You want to find out how many times \(9\) fits into \(0.72\).
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Convert the division into a more manageable form: Since \(9\) is a whole number, you can rewrite the division as:
\[ \frac{0.72}{9} \]
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Perform the division: You can express \(0.72\) as a fraction:
\[ 0.72 = \frac{72}{100} \]
So,
\[ \frac{0.72}{9} = \frac{72/100}{9} = \frac{72}{100 \times 9} = \frac{72}{900} \]
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Simplify the fraction: Now, we simplify \(\frac{72}{900}\).
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Find the greatest common divisor (GCD) of \(72\) and \(900\). The GCD is \(36\).
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Divide both the numerator and the denominator by \(36\):
\[ \frac{72 \div 36}{900 \div 36} = \frac{2}{25} \]
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Convert back to decimal, if needed: If you'd like the decimal form of this result, divide \(2\) by \(25\):
\[ 2 \div 25 = 0.08 \]
Thus, the result of \(0.72\) divided by \(9\) is:
\[ \frac{0.72}{9} = 0.08 \]