Converting 25.645 to a Fraction
Step-by-step explanation of how to convert 25.645 to a fraction

Result

25.645 =
5129
200
Mixed number:
25
129
200

Step 1: Identify the number of decimal places

The decimal 25.645 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

25.645 × 1000 = 25645

Step 3: Write as a fraction

25.645 =

25645
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 25645 and 1000.

GCD(25645, 1000) = 5

Divide both the numerator and denominator by the GCD:

25645
1000

=

25645 ÷ 5
1000 ÷ 5

=

5129
200
Related Conversions
Other decimal to fraction conversions you might find useful