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Convert 0.45 to a fraction in simplest form.

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Answer
920\boxed{\frac{9}{20}}

Dividing 9 by 20 on a calculator confirms the result is 0.45.

Problem: Convert the decimal 0.450.45 to a fraction in simplest form.

Steps

  1. Write as a fraction with a denominator of 100
    45100\frac{45}{100}
  2. Find the greatest common divisor (GCD) of 45 and 100
    The factors of 45 are 1, 3, 5, 9, 15, 45. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD is 5.
  3. Divide both the numerator and denominator by 5
    45÷5100÷5=920\frac{45 \div 5}{100 \div 5} = \frac{9}{20}

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