Converting 11.59752 to a Fraction
Step-by-step explanation of how to convert 11.59752 to a fraction
Result
11.59752 =
144969
12500
Mixed number:
11
7469
12500
Step 1: Identify the number of decimal places
The decimal 11.59752 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.59752 × 100000 = 1159752
Step 3: Write as a fraction
11.59752 =
1159752
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1159752 and 100000.
GCD(1159752, 100000) = 8
Divide both the numerator and denominator by the GCD:
1159752
100000
=
1159752 ÷ 8
100000 ÷ 8
=
144969
12500
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