Converting 30.5146 to a Fraction
Step-by-step explanation of how to convert 30.5146 to a fraction

Result

30.5146 =
152573
5000
Mixed number:
30
2573
5000

Step 1: Identify the number of decimal places

The decimal 30.5146 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.5146 × 10000 = 305146

Step 3: Write as a fraction

30.5146 =

305146
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 305146 and 10000.

GCD(305146, 10000) = 2

Divide both the numerator and denominator by the GCD:

305146
10000

=

305146 ÷ 2
10000 ÷ 2

=

152573
5000
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