Converting 3.85875 to a Fraction
Step-by-step explanation of how to convert 3.85875 to a fraction

Result

3.85875 =
3087
800
Mixed number:
3
687
800

Step 1: Identify the number of decimal places

The decimal 3.85875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.85875 × 100000 = 385875

Step 3: Write as a fraction

3.85875 =

385875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 385875 and 100000.

GCD(385875, 100000) = 125

Divide both the numerator and denominator by the GCD:

385875
100000

=

385875 ÷ 125
100000 ÷ 125

=

3087
800
Related Conversions
Other decimal to fraction conversions you might find useful