Converting 6.1145 to a Fraction
Step-by-step explanation of how to convert 6.1145 to a fraction
Result
6.1145 =
12229
2000
Mixed number:
6
229
2000
Step 1: Identify the number of decimal places
The decimal 6.1145 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
6.1145 × 10000 = 61145
Step 3: Write as a fraction
6.1145 =
61145
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 61145 and 10000.
GCD(61145, 10000) = 5
Divide both the numerator and denominator by the GCD:
61145
10000
=
61145 ÷ 5
10000 ÷ 5
=
12229
2000
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