Converting 3.726408 to a Fraction
Step-by-step explanation of how to convert 3.726408 to a fraction
Result
3.726408 =
465801
125000
Mixed number:
3
90801
125000
Step 1: Identify the number of decimal places
The decimal 3.726408 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.726408 × 1000000 = 3726408
Step 3: Write as a fraction
3.726408 =
3726408
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3726408 and 1000000.
GCD(3726408, 1000000) = 8
Divide both the numerator and denominator by the GCD:
3726408
1000000
=
3726408 ÷ 8
1000000 ÷ 8
=
465801
125000
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