Converting 30.5204 to a Fraction
Step-by-step explanation of how to convert 30.5204 to a fraction
Result
30.5204 =
76301
2500
Mixed number:
30
1301
2500
Step 1: Identify the number of decimal places
The decimal 30.5204 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.5204 × 10000 = 305204
Step 3: Write as a fraction
30.5204 =
305204
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 305204 and 10000.
GCD(305204, 10000) = 4
Divide both the numerator and denominator by the GCD:
305204
10000
=
305204 ÷ 4
10000 ÷ 4
=
76301
2500
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