Converting 25.838 to a Fraction
Step-by-step explanation of how to convert 25.838 to a fraction

Result

25.838 =
12919
500
Mixed number:
25
419
500

Step 1: Identify the number of decimal places

The decimal 25.838 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

25.838 × 1000 = 25838

Step 3: Write as a fraction

25.838 =

25838
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 25838 and 1000.

GCD(25838, 1000) = 2

Divide both the numerator and denominator by the GCD:

25838
1000

=

25838 ÷ 2
1000 ÷ 2

=

12919
500
Related Conversions
Other decimal to fraction conversions you might find useful