Converting 25.8075 to a Fraction
Step-by-step explanation of how to convert 25.8075 to a fraction

Result

25.8075 =
10323
400
Mixed number:
25
323
400

Step 1: Identify the number of decimal places

The decimal 25.8075 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.8075 × 10000 = 258075

Step 3: Write as a fraction

25.8075 =

258075
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 258075 and 10000.

GCD(258075, 10000) = 25

Divide both the numerator and denominator by the GCD:

258075
10000

=

258075 ÷ 25
10000 ÷ 25

=

10323
400
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