Convert 0.563 as a fraction.
Understand the Problem
The question is asking how to convert the decimal 0.563 into a fraction. This involves identifying the place value of the last digit and simplifying the fraction if possible.
Answer
The fraction equivalent of 0.563 is $\frac{563}{1000}$.
Answer for screen readers
The fraction equivalent of 0.563 is $\frac{563}{1000}$.
Steps to Solve
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Identify the place value The decimal 0.563 has three digits after the decimal point. The last digit "3" is in the thousandths place.
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Write as a fraction To convert the decimal into a fraction, write $0.563$ as $\frac{563}{1000}$, since there are three decimal places.
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Simplify the fraction Next, we check if the fraction can be simplified. Find the greatest common divisor (GCD) of 563 and 1000.
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GCD calculation The GCD of 563 and 1000 is 1, which means that $\frac{563}{1000}$ is already in its simplest form.
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Write the final answer Thus, the fraction equivalent of 0.563 is $\frac{563}{1000}$.
The fraction equivalent of 0.563 is $\frac{563}{1000}$.
More Information
Converting decimals to fractions is useful in many real-life applications, especially in finance and measurement. The ability to simplify fractions ensures that they are presented in their most efficient form.
Tips
One common mistake is forgetting to simplify the fraction after converting from decimal. Always check if the fraction can be reduced.
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