Converting 25.6428 to a Fraction
Step-by-step explanation of how to convert 25.6428 to a fraction

Result

25.6428 =
64107
2500
Mixed number:
25
1607
2500

Step 1: Identify the number of decimal places

The decimal 25.6428 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.6428 × 10000 = 256428

Step 3: Write as a fraction

25.6428 =

256428
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 256428 and 10000.

GCD(256428, 10000) = 4

Divide both the numerator and denominator by the GCD:

256428
10000

=

256428 ÷ 4
10000 ÷ 4

=

64107
2500
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