Converting 11.8075 to a Fraction
Step-by-step explanation of how to convert 11.8075 to a fraction
Result
11.8075 =
4723
400
Mixed number:
11
323
400
Step 1: Identify the number of decimal places
The decimal 11.8075 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.8075 × 10000 = 118075
Step 3: Write as a fraction
11.8075 =
118075
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 118075 and 10000.
GCD(118075, 10000) = 25
Divide both the numerator and denominator by the GCD:
118075
10000
=
118075 ÷ 25
10000 ÷ 25
=
4723
400
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