Converting 25.3125 to a Fraction
Step-by-step explanation of how to convert 25.3125 to a fraction

Result

25.3125 =
405
16
Mixed number:
25
5
16

Step 1: Identify the number of decimal places

The decimal 25.3125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.3125 × 10000 = 253125

Step 3: Write as a fraction

25.3125 =

253125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 253125 and 10000.

GCD(253125, 10000) = 625

Divide both the numerator and denominator by the GCD:

253125
10000

=

253125 ÷ 625
10000 ÷ 625

=

405
16
Related Conversions
Other decimal to fraction conversions you might find useful