Write 12/25 as a decimal.
Understand the Problem
The question is asking us to convert the fraction 12/25 into its decimal form. This involves performing the division of 12 by 25.
Answer
$0.48$
Answer for screen readers
The decimal form of $\frac{12}{25}$ is $0.48$.
Steps to Solve
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Set up the division We need to divide 12 by 25. Set it up as $12 \div 25$.
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Perform the division 25 doesn't go into 12, so we write 0. We add a decimal point and a zero to 12, making it 120. Now divide 120 by 25.
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Calculate the first part 25 goes into 120 a total of 4 times since $25 \times 4 = 100$. Write down 4 after the decimal: $0.4$.
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Subtract and continue Subtract 100 from 120, leaving 20. Bring down another 0 (making it 200).
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Divide again 25 goes into 200 a total of 8 times since $25 \times 8 = 200$. Write down 8: $0.48$.
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Finish up Subtract 200 from 200, which leaves us with 0. Thus, the division is complete, and we have $0.48$.
The decimal form of $\frac{12}{25}$ is $0.48$.
More Information
Converting fractions to decimals is a common mathematical operation, often used in various applications such as calculations in finance or measurements. In this case, since 25 is a factor of 100, the decimal representation is exact and terminates after two decimal places.
Tips
- Mistaking the size of the divisor: It's easy to mix up how many times the divisor fits into the dividend, causing errors in calculations. Always carefully track your divisions.
- Forgetting to add the decimal point when transitioning from whole numbers to decimal numbers.
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