Converting 5.64765 to a Fraction
Step-by-step explanation of how to convert 5.64765 to a fraction
Result
5.64765 =
112953
20000
Mixed number:
5
12953
20000
Step 1: Identify the number of decimal places
The decimal 5.64765 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
5.64765 × 100000 = 564765
Step 3: Write as a fraction
5.64765 =
564765
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 564765 and 100000.
GCD(564765, 100000) = 5
Divide both the numerator and denominator by the GCD:
564765
100000
=
564765 ÷ 5
100000 ÷ 5
=
112953
20000
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