Converting 11.21176 to a Fraction
Step-by-step explanation of how to convert 11.21176 to a fraction
Result
11.21176 =
140147
12500
Mixed number:
11
2647
12500
Step 1: Identify the number of decimal places
The decimal 11.21176 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.21176 × 100000 = 1121176
Step 3: Write as a fraction
11.21176 =
1121176
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1121176 and 100000.
GCD(1121176, 100000) = 8
Divide both the numerator and denominator by the GCD:
1121176
100000
=
1121176 ÷ 8
100000 ÷ 8
=
140147
12500
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