Convert percentage 537.5% into fraction

Mathematics

ScanSolve AI Answer

Answer

To convert a percentage to a fraction, divide the percentage by 100 and simplify the resulting fraction.

1. Write as a fraction over 100:
537.5%=537.5100537.5\% = \frac{537.5}{100}

2. Eliminate the decimal in the numerator:
Multiply both the numerator and the denominator by 10 to remove the decimal:
537.5×10100×10=53751000\frac{537.5 \times 10}{100 \times 10} = \frac{5375}{1000}

3. Simplify the fraction:
Find the greatest common divisor (GCD) of 5375 and 1000.
Both numbers are divisible by 25:
5375÷251000÷25=21540\frac{5375 \div 25}{1000 \div 25} = \frac{215}{40}

Both numbers are divisible by 5:
215÷540÷5=438\frac{215 \div 5}{40 \div 5} = \frac{43}{8}

The fraction is 438\frac{43}{8}.

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