Converting 11.82144 to a Fraction
Step-by-step explanation of how to convert 11.82144 to a fraction
Result
11.82144 =
36942
3125
Mixed number:
11
2567
3125
Step 1: Identify the number of decimal places
The decimal 11.82144 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.82144 × 100000 = 1182144
Step 3: Write as a fraction
11.82144 =
1182144
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1182144 and 100000.
GCD(1182144, 100000) = 32
Divide both the numerator and denominator by the GCD:
1182144
100000
=
1182144 ÷ 32
100000 ÷ 32
=
36942
3125
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