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Convert 15.5%15.5\% to a fraction

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Convert between decimals and mixed numbersright chevron icon

Full solution

Q. Convert 15.5%15.5\% to a fraction
  1. Convert to fraction: Convert the percentage to a fraction by placing 15.515.5 over 100100; 15.5%=15.510015.5\% = \frac{15.5}{100}.
  2. Simplify fraction: Simplify the fraction by multiplying both the numerator and the denominator by 1010 to eliminate the decimal point; 15.5×10=15515.5 \times 10 = 155 and 100×10=1000100 \times 10 = 1000, so 15.5100=1551000\frac{15.5}{100} = \frac{155}{1000}.
  3. Reduce fraction: Reduce the fraction by finding the greatest common divisor (GCD) of 155155 and 10001000. The GCD is 55. Divide both the numerator and the denominator by 55; 155÷5=31155 \div 5 = 31 and 1000÷5=2001000 \div 5 = 200. So, 1551000\frac{155}{1000} simplifies to 31200\frac{31}{200}.

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