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Convert the decimal below to a fraction in simplest form. 0.64 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.64 0.64 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.64 0.64 \newlineAnswer:
  1. Write Decimal as Fraction: Write the decimal as a fraction with a denominator of 11.0.640.64 can be written as 0.641\frac{0.64}{1}.
  2. Multiply by 100100: Multiply the numerator and the denominator by 100100 to eliminate the decimal places. 0.64/1×100/100=64/1000.64/1 \times 100/100 = 64/100.
  3. Simplify with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 6464 and 100100 is 44.
  4. Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction. 64÷4=1664 \div 4 = 16 and 100÷4=25100 \div 4 = 25. So, 64100\frac{64}{100} simplified is 1625\frac{16}{25}.

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