Converting 6.11125 to a Fraction
Step-by-step explanation of how to convert 6.11125 to a fraction
Result
6.11125 =
4889
800
Mixed number:
6
89
800
Step 1: Identify the number of decimal places
The decimal 6.11125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
6.11125 × 100000 = 611125
Step 3: Write as a fraction
6.11125 =
611125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 611125 and 100000.
GCD(611125, 100000) = 125
Divide both the numerator and denominator by the GCD:
611125
100000
=
611125 ÷ 125
100000 ÷ 125
=
4889
800
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