Convert percentage 436.36% into fraction

Mathematics

ScanSolve AI Answer

Answer

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

Step-by-step solution

3 steps

Here are the steps:

  1. Write the percentage as a fraction over 100

    436.36%=436.36100436.36\% = \frac{436.36}{100}

  2. Eliminate the decimal in the numerator

    To do this, multiply both the numerator and the denominator by 100 (since there are two decimal places).
    436.36×100100×100=4363610000\frac{436.36 \times 100}{100 \times 100} = \frac{43636}{10000}

  3. Simplify the fraction

    Find the greatest common divisor (GCD) of the numerator and the denominator. Both 43636 and 10000 are divisible by 4.
    43636÷410000÷4=109092500\frac{43636 \div 4}{10000 \div 4} = \frac{10909}{2500}

    The fraction 10909/2500 cannot be simplified further, as 10909 and 2500 share no common prime factors.

    The fraction form of 436.36% is 109092500\frac{10909}{2500}.

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