13/12 as a decimal
Understand the Problem
The question is asking to convert the fraction 13/12 into its decimal form. This involves dividing the numerator (13) by the denominator (12).
Answer
The decimal form of the fraction $\frac{13}{12}$ is $1.0833\ldots$ or $1.\overline{0833}$.
Answer for screen readers
The decimal form of the fraction $\frac{13}{12}$ is $1.0833\ldots$ or $1.\overline{0833}$.
Steps to Solve
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Set up the division We need to divide the numerator by the denominator to convert the fraction to decimal form. This means calculating $13 \div 12$.
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Perform the division When we divide 13 by 12, we can do it directly. The result of this division is $1.08333\ldots$, which is a repeating decimal.
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Identify the repeating part Noticing that the decimal part continues infinitely, we recognize that the repeating part is '3'.
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Write the final answer We can express the final result as $1.\overline{0833}$, indicating that the '3' repeats.
The decimal form of the fraction $\frac{13}{12}$ is $1.0833\ldots$ or $1.\overline{0833}$.
More Information
Converting fractions to decimal form is a fundamental skill in math. The result here shows the importance of understanding repeating decimals and how to denote them properly.
Tips
- A common mistake is to round the decimal too early in the division process. Always keep going until you clearly identify the repeating part or a suitable approximation.
- Another mistake is forgetting to express repeating decimals correctly with an overline.
