Converting 25.585 to a Fraction
Step-by-step explanation of how to convert 25.585 to a fraction

Result

25.585 =
5117
200
Mixed number:
25
117
200

Step 1: Identify the number of decimal places

The decimal 25.585 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

25.585 × 1000 = 25585

Step 3: Write as a fraction

25.585 =

25585
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 25585 and 1000.

GCD(25585, 1000) = 5

Divide both the numerator and denominator by the GCD:

25585
1000

=

25585 ÷ 5
1000 ÷ 5

=

5117
200
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