Converting 12.1376 to a Fraction
Step-by-step explanation of how to convert 12.1376 to a fraction
Result
12.1376 =
7586
625
Mixed number:
12
86
625
Step 1: Identify the number of decimal places
The decimal 12.1376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
12.1376 × 10000 = 121376
Step 3: Write as a fraction
12.1376 =
121376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 121376 and 10000.
GCD(121376, 10000) = 16
Divide both the numerator and denominator by the GCD:
121376
10000
=
121376 ÷ 16
10000 ÷ 16
=
7586
625
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