Converting 11.7876 to a Fraction
Step-by-step explanation of how to convert 11.7876 to a fraction
Result
11.7876 =
29469
2500
Mixed number:
11
1969
2500
Step 1: Identify the number of decimal places
The decimal 11.7876 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.7876 × 10000 = 117876
Step 3: Write as a fraction
11.7876 =
117876
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 117876 and 10000.
GCD(117876, 10000) = 4
Divide both the numerator and denominator by the GCD:
117876
10000
=
117876 ÷ 4
10000 ÷ 4
=
29469
2500
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