Converting 25.4675 to a Fraction
Step-by-step explanation of how to convert 25.4675 to a fraction

Result

25.4675 =
10187
400
Mixed number:
25
187
400

Step 1: Identify the number of decimal places

The decimal 25.4675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.4675 × 10000 = 254675

Step 3: Write as a fraction

25.4675 =

254675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 254675 and 10000.

GCD(254675, 10000) = 25

Divide both the numerator and denominator by the GCD:

254675
10000

=

254675 ÷ 25
10000 ÷ 25

=

10187
400
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