Converting 36.4128 to a Fraction
Step-by-step explanation of how to convert 36.4128 to a fraction
Result
36.4128 =
22758
625
Mixed number:
36
258
625
Step 1: Identify the number of decimal places
The decimal 36.4128 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
36.4128 × 10000 = 364128
Step 3: Write as a fraction
36.4128 =
364128
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 364128 and 10000.
GCD(364128, 10000) = 16
Divide both the numerator and denominator by the GCD:
364128
10000
=
364128 ÷ 16
10000 ÷ 16
=
22758
625
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