Converting 11.57204 to a Fraction
Step-by-step explanation of how to convert 11.57204 to a fraction
Result
11.57204 =
289301
25000
Mixed number:
11
14301
25000
Step 1: Identify the number of decimal places
The decimal 11.57204 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.57204 × 100000 = 1157204
Step 3: Write as a fraction
11.57204 =
1157204
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1157204 and 100000.
GCD(1157204, 100000) = 4
Divide both the numerator and denominator by the GCD:
1157204
100000
=
1157204 ÷ 4
100000 ÷ 4
=
289301
25000
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