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Convert 0.250.25 to a fraction.

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Full solution

Q. Convert 0.250.25 to a fraction.
  1. Understand decimal conversion: Understand the decimal to fraction conversion.\newlineTo convert a decimal to a fraction, we need to write the decimal as a fraction with a denominator that corresponds to the place value of the last digit. For 0.250.25, the last digit is in the hundredths place, so we use 100100 as the denominator.
  2. Write decimal as fraction: Write the decimal as a fraction. 0.250.25 can be written as 25100\frac{25}{100} because there are 2525 hundredths in 0.250.25.
  3. Simplify the fraction: Simplify the fraction.\newlineTo simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number. The GCD of 2525 and 100100 is 2525.\newline25÷25=125 \div 25 = 1\newline100÷25=4100 \div 25 = 4\newlineSo, 25100\frac{25}{100} simplifies to 14\frac{1}{4}.

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