Converting 3.649768 to a Fraction
Step-by-step explanation of how to convert 3.649768 to a fraction

Result

3.649768 =
456221
125000
Mixed number:
3
81221
125000

Step 1: Identify the number of decimal places

The decimal 3.649768 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.649768 × 1000000 = 3649768

Step 3: Write as a fraction

3.649768 =

3649768
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3649768 and 1000000.

GCD(3649768, 1000000) = 8

Divide both the numerator and denominator by the GCD:

3649768
1000000

=

3649768 ÷ 8
1000000 ÷ 8

=

456221
125000
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