Converting 11.4675 to a Fraction
Step-by-step explanation of how to convert 11.4675 to a fraction
Result
11.4675 =
4587
400
Mixed number:
11
187
400
Step 1: Identify the number of decimal places
The decimal 11.4675 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.4675 × 10000 = 114675
Step 3: Write as a fraction
11.4675 =
114675
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 114675 and 10000.
GCD(114675, 10000) = 25
Divide both the numerator and denominator by the GCD:
114675
10000
=
114675 ÷ 25
10000 ÷ 25
=
4587
400
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