Converting 30.14264 to a Fraction
Step-by-step explanation of how to convert 30.14264 to a fraction

Result

30.14264 =
376783
12500
Mixed number:
30
1783
12500

Step 1: Identify the number of decimal places

The decimal 30.14264 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.14264 × 100000 = 3014264

Step 3: Write as a fraction

30.14264 =

3014264
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3014264 and 100000.

GCD(3014264, 100000) = 8

Divide both the numerator and denominator by the GCD:

3014264
100000

=

3014264 ÷ 8
100000 ÷ 8

=

376783
12500
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