Converting 25.6892 to a Fraction
Step-by-step explanation of how to convert 25.6892 to a fraction
Result
25.6892 =
64223
2500
Mixed number:
25
1723
2500
Step 1: Identify the number of decimal places
The decimal 25.6892 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
25.6892 × 10000 = 256892
Step 3: Write as a fraction
25.6892 =
256892
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 256892 and 10000.
GCD(256892, 10000) = 4
Divide both the numerator and denominator by the GCD:
256892
10000
=
256892 ÷ 4
10000 ÷ 4
=
64223
2500
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