Convert 0.023 as a fraction.
Understand the Problem
The question is asking to convert the decimal number 0.023 into its fractional form. This involves finding a numerator and a denominator that accurately represent the given decimal.
Answer
The fractional form of 0.023 is \( \frac{23}{1000} \).
Answer for screen readers
The fractional form of the decimal number 0.023 is ( \frac{23}{1000} ).
Steps to Solve
- Identify the decimal place
The given decimal is 0.023. This has three decimal places. To convert it into a fraction, we can express it as:
$$ 0.023 = \frac{23}{1000} $$
- Simplify the fraction
Next, we need to check if the fraction ( \frac{23}{1000} ) can be simplified. We find the greatest common divisor (GCD) of 23 and 1000. Since 23 is a prime number and does not divide 1000, the GCD is 1.
Thus, the fraction is already in its simplest form,
$$ \frac{23}{1000} $$
The fractional form of the decimal number 0.023 is ( \frac{23}{1000} ).
More Information
Converting decimals to fractions is a common math operation. A decimal like 0.023 can often represent a value that is a part of a whole, such as money or measurements, making this conversion useful in real-world applications.
Tips
- Mistaking the number of decimal places can lead to an incorrect denominator. Always count the decimal places carefully.
- Forgetting to check for simplification after converting may leave the fraction in a non-simple form.
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