Converting 25.8125 to a Fraction
Step-by-step explanation of how to convert 25.8125 to a fraction
Result
25.8125 =
413
16
Mixed number:
25
13
16
Step 1: Identify the number of decimal places
The decimal 25.8125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
25.8125 × 10000 = 258125
Step 3: Write as a fraction
25.8125 =
258125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 258125 and 10000.
GCD(258125, 10000) = 625
Divide both the numerator and denominator by the GCD:
258125
10000
=
258125 ÷ 625
10000 ÷ 625
=
413
16
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions