Converting 3.82345 to a Fraction
Step-by-step explanation of how to convert 3.82345 to a fraction
Result
3.82345 =
76469
20000
Mixed number:
3
16469
20000
Step 1: Identify the number of decimal places
The decimal 3.82345 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.82345 × 100000 = 382345
Step 3: Write as a fraction
3.82345 =
382345
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 382345 and 100000.
GCD(382345, 100000) = 5
Divide both the numerator and denominator by the GCD:
382345
100000
=
382345 ÷ 5
100000 ÷ 5
=
76469
20000
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