Converting 11.8408 to a Fraction
Step-by-step explanation of how to convert 11.8408 to a fraction
Result
11.8408 =
14801
1250
Mixed number:
11
1051
1250
Step 1: Identify the number of decimal places
The decimal 11.8408 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.8408 × 10000 = 118408
Step 3: Write as a fraction
11.8408 =
118408
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 118408 and 10000.
GCD(118408, 10000) = 8
Divide both the numerator and denominator by the GCD:
118408
10000
=
118408 ÷ 8
10000 ÷ 8
=
14801
1250
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