Converting 11.86824 to a Fraction
Step-by-step explanation of how to convert 11.86824 to a fraction
Result
11.86824 =
148353
12500
Mixed number:
11
10853
12500
Step 1: Identify the number of decimal places
The decimal 11.86824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.86824 × 100000 = 1186824
Step 3: Write as a fraction
11.86824 =
1186824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1186824 and 100000.
GCD(1186824, 100000) = 8
Divide both the numerator and denominator by the GCD:
1186824
100000
=
1186824 ÷ 8
100000 ÷ 8
=
148353
12500
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