Converting 3.63968 to a Fraction
Step-by-step explanation of how to convert 3.63968 to a fraction

Result

3.63968 =
11374
3125
Mixed number:
3
1999
3125

Step 1: Identify the number of decimal places

The decimal 3.63968 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.63968 × 100000 = 363968

Step 3: Write as a fraction

3.63968 =

363968
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 363968 and 100000.

GCD(363968, 100000) = 32

Divide both the numerator and denominator by the GCD:

363968
100000

=

363968 ÷ 32
100000 ÷ 32

=

11374
3125
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