Converting 25.7256 to a Fraction
Step-by-step explanation of how to convert 25.7256 to a fraction

Result

25.7256 =
32157
1250
Mixed number:
25
907
1250

Step 1: Identify the number of decimal places

The decimal 25.7256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.7256 × 10000 = 257256

Step 3: Write as a fraction

25.7256 =

257256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 257256 and 10000.

GCD(257256, 10000) = 8

Divide both the numerator and denominator by the GCD:

257256
10000

=

257256 ÷ 8
10000 ÷ 8

=

32157
1250
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