Converting 3.63875 to a Fraction
Step-by-step explanation of how to convert 3.63875 to a fraction

Result

3.63875 =
2911
800
Mixed number:
3
511
800

Step 1: Identify the number of decimal places

The decimal 3.63875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.63875 × 100000 = 363875

Step 3: Write as a fraction

3.63875 =

363875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 363875 and 100000.

GCD(363875, 100000) = 125

Divide both the numerator and denominator by the GCD:

363875
100000

=

363875 ÷ 125
100000 ÷ 125

=

2911
800
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