Converting 11.89752 to a Fraction
Step-by-step explanation of how to convert 11.89752 to a fraction
Result
11.89752 =
148719
12500
Mixed number:
11
11219
12500
Step 1: Identify the number of decimal places
The decimal 11.89752 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.89752 × 100000 = 1189752
Step 3: Write as a fraction
11.89752 =
1189752
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1189752 and 100000.
GCD(1189752, 100000) = 8
Divide both the numerator and denominator by the GCD:
1189752
100000
=
1189752 ÷ 8
100000 ÷ 8
=
148719
12500
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