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 stepsHere are the steps:
Write the percentage as a fraction over 100
436.36% = 436.36 / 100
Eliminate the decimal in the numerator
To remove the two decimal places, multiply both the numerator and the denominator by 100:
(436.36 * 100) / (100 * 100) = 43636 / 10000Simplify the fraction
Find the greatest common divisor (GCD) of 43636 and 10000. Both numbers are divisible by 4.
43636 ÷ 4 = 10909
10000 ÷ 4 = 2500
So, the fraction becomes 10909 / 2500.Since 10909 is not divisible by 2 or 5 (the prime factors of 2500), this fraction is in its simplest form.
The percentage 436.36% converted to a fraction is 10909/2500.
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