Converting 25.6428 to a Fraction
Step-by-step explanation of how to convert 25.6428 to a fraction
Result
25.6428 =
64107
2500
Mixed number:
25
1607
2500
Step 1: Identify the number of decimal places
The decimal 25.6428 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
25.6428 × 10000 = 256428
Step 3: Write as a fraction
25.6428 =
256428
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 256428 and 10000.
GCD(256428, 10000) = 4
Divide both the numerator and denominator by the GCD:
256428
10000
=
256428 ÷ 4
10000 ÷ 4
=
64107
2500
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