Converting 30.7282 to a Fraction
Step-by-step explanation of how to convert 30.7282 to a fraction

Result

30.7282 =
153641
5000
Mixed number:
30
3641
5000

Step 1: Identify the number of decimal places

The decimal 30.7282 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.7282 × 10000 = 307282

Step 3: Write as a fraction

30.7282 =

307282
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 307282 and 10000.

GCD(307282, 10000) = 2

Divide both the numerator and denominator by the GCD:

307282
10000

=

307282 ÷ 2
10000 ÷ 2

=

153641
5000
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