To convert \( \frac{12}{30} \) to a decimal using long division, follow these steps:
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Set up the long division: we want to divide 12 by 30.
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Since 12 is less than 30, we know that it will go 0 times with a remainder. Therefore, we initially write 0.
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To continue, we can add a decimal point and a zero, making it 120.
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Now, divide 120 by 30.
- \( 30 \times 4 = 120 \)
- The answer is exactly 4 with a remainder of 0.
Therefore, \( \frac{12}{30} = 0.4 \).
So the decimal equivalent of \( \frac{12}{30} \) is: 0.4.