Converting 3.825344 to a Fraction
Step-by-step explanation of how to convert 3.825344 to a fraction
Result
3.825344 =
59771
15625
Mixed number:
3
12896
15625
Step 1: Identify the number of decimal places
The decimal 3.825344 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.825344 × 1000000 = 3825344
Step 3: Write as a fraction
3.825344 =
3825344
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3825344 and 1000000.
GCD(3825344, 1000000) = 64
Divide both the numerator and denominator by the GCD:
3825344
1000000
=
3825344 ÷ 64
1000000 ÷ 64
=
59771
15625
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