Converting 11.64625 to a Fraction
Step-by-step explanation of how to convert 11.64625 to a fraction
Result
11.64625 =
9317
800
Mixed number:
11
517
800
Step 1: Identify the number of decimal places
The decimal 11.64625 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.64625 × 100000 = 1164625
Step 3: Write as a fraction
11.64625 =
1164625
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1164625 and 100000.
GCD(1164625, 100000) = 125
Divide both the numerator and denominator by the GCD:
1164625
100000
=
1164625 ÷ 125
100000 ÷ 125
=
9317
800
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