Converting 25.645 to a Fraction
Step-by-step explanation of how to convert 25.645 to a fraction
Result
25.645 =
5129
200
Mixed number:
25
129
200
Step 1: Identify the number of decimal places
The decimal 25.645 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
25.645 × 1000 = 25645
Step 3: Write as a fraction
25.645 =
25645
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 25645 and 1000.
GCD(25645, 1000) = 5
Divide both the numerator and denominator by the GCD:
25645
1000
=
25645 ÷ 5
1000 ÷ 5
=
5129
200
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