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Express 0.1019 as a fraction.

Express 00.10191019 as a fraction.

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Q. Express 00.10191019 as a fraction.
  1. Recognize Decimal Places: To express the decimal 0.10190.1019 as a fraction, we first need to recognize how many places there are after the decimal point. There are four digits after the decimal point, which means the decimal can be expressed over 10,00010,000 (since 104=10,00010^4 = 10,000).
  2. Write as Fraction: Now, we write 0.10190.1019 as 10191019 over 10,00010,000. This gives us the fraction 101910000.\frac{1019}{10000}.
  3. Simplify Fraction: The next step is to simplify the fraction. We need to find the greatest common divisor (GCD) of 10191019 and 1000010000 to reduce the fraction to its simplest form. The GCD of 10191019 and 1000010000 is 11, since 10191019 is a prime number.
  4. Check for Simplest Form: Since the GCD is 11, the fraction 101910000\frac{1019}{10000} is already in its simplest form. Therefore, we do not need to simplify it further.

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