Converting 25.8625 to a Fraction
Step-by-step explanation of how to convert 25.8625 to a fraction

Result

25.8625 =
2069
80
Mixed number:
25
69
80

Step 1: Identify the number of decimal places

The decimal 25.8625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.8625 × 10000 = 258625

Step 3: Write as a fraction

25.8625 =

258625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 258625 and 10000.

GCD(258625, 10000) = 125

Divide both the numerator and denominator by the GCD:

258625
10000

=

258625 ÷ 125
10000 ÷ 125

=

2069
80
Related Conversions
Other decimal to fraction conversions you might find useful