Converting 25.2826 to a Fraction
Step-by-step explanation of how to convert 25.2826 to a fraction

Result

25.2826 =
126413
5000
Mixed number:
25
1413
5000

Step 1: Identify the number of decimal places

The decimal 25.2826 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.2826 × 10000 = 252826

Step 3: Write as a fraction

25.2826 =

252826
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 252826 and 10000.

GCD(252826, 10000) = 2

Divide both the numerator and denominator by the GCD:

252826
10000

=

252826 ÷ 2
10000 ÷ 2

=

126413
5000
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