Converting 25.5875 to a Fraction
Step-by-step explanation of how to convert 25.5875 to a fraction

Result

25.5875 =
2047
80
Mixed number:
25
47
80

Step 1: Identify the number of decimal places

The decimal 25.5875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.5875 × 10000 = 255875

Step 3: Write as a fraction

25.5875 =

255875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 255875 and 10000.

GCD(255875, 10000) = 125

Divide both the numerator and denominator by the GCD:

255875
10000

=

255875 ÷ 125
10000 ÷ 125

=

2047
80
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