What is 1,900 divided by 2,000 as a simplified fraction?

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To determine the simplified fraction of 1,900 divided by 2,000, start by writing it as a fraction:

[ \frac{1900}{2000} ]

Next, both the numerator and the denominator can be simplified by finding their greatest common divisor (GCD). In this case, you can factor both numbers:

1900 and 2000 can both be divided by 100:

[ \frac{1900 \div 100}{2000 \div 100} = \frac{19}{20} ]

At this point, it’s important to check if 19 and 20 have any common factors. Since 19 is a prime number and does not divide into 20, this means the fraction (\frac{19}{20}) is in its simplest form.

However, the answer choices provided do not contain (\frac{19}{20}), but they do have fractions that can be evaluated. If we look at the decimal equivalents:

  • (\frac{19}{20}) converts to 0.95.
  • The fraction (\frac{9}{10}) also converts to 0.90.

It seems there was a misunderstanding in choosing the correct

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