Converting 3.645624 to a Fraction
Step-by-step explanation of how to convert 3.645624 to a fraction

Result

3.645624 =
455703
125000
Mixed number:
3
80703
125000

Step 1: Identify the number of decimal places

The decimal 3.645624 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.645624 × 1000000 = 3645624

Step 3: Write as a fraction

3.645624 =

3645624
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3645624 and 1000000.

GCD(3645624, 1000000) = 8

Divide both the numerator and denominator by the GCD:

3645624
1000000

=

3645624 ÷ 8
1000000 ÷ 8

=

455703
125000
Related Conversions
Other decimal to fraction conversions you might find useful