Converting 25.6125 to a Fraction
Step-by-step explanation of how to convert 25.6125 to a fraction
Result
25.6125 =
2049
80
Mixed number:
25
49
80
Step 1: Identify the number of decimal places
The decimal 25.6125 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
25.6125 × 10000 = 256125
Step 3: Write as a fraction
25.6125 =
256125
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 256125 and 10000.
GCD(256125, 10000) = 125
Divide both the numerator and denominator by the GCD:
256125
10000
=
256125 ÷ 125
10000 ÷ 125
=
2049
80
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