Converting 5.85875 to a Fraction
Step-by-step explanation of how to convert 5.85875 to a fraction

Result

5.85875 =
4687
800
Mixed number:
5
687
800

Step 1: Identify the number of decimal places

The decimal 5.85875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.85875 × 100000 = 585875

Step 3: Write as a fraction

5.85875 =

585875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 585875 and 100000.

GCD(585875, 100000) = 125

Divide both the numerator and denominator by the GCD:

585875
100000

=

585875 ÷ 125
100000 ÷ 125

=

4687
800
Related Conversions
Other decimal to fraction conversions you might find useful