Converting 3.82375 to a Fraction
Step-by-step explanation of how to convert 3.82375 to a fraction
Result
3.82375 =
3059
800
Mixed number:
3
659
800
Step 1: Identify the number of decimal places
The decimal 3.82375 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.82375 × 100000 = 382375
Step 3: Write as a fraction
3.82375 =
382375
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 382375 and 100000.
GCD(382375, 100000) = 125
Divide both the numerator and denominator by the GCD:
382375
100000
=
382375 ÷ 125
100000 ÷ 125
=
3059
800
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