Converting 11.536824 to a Fraction
Step-by-step explanation of how to convert 11.536824 to a fraction
Result
11.536824 =
1442103
125000
Mixed number:
11
67103
125000
Step 1: Identify the number of decimal places
The decimal 11.536824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
11.536824 × 1000000 = 11536824
Step 3: Write as a fraction
11.536824 =
11536824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11536824 and 1000000.
GCD(11536824, 1000000) = 8
Divide both the numerator and denominator by the GCD:
11536824
1000000
=
11536824 ÷ 8
1000000 ÷ 8
=
1442103
125000
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