Converting 30.31416 to a Fraction
Step-by-step explanation of how to convert 30.31416 to a fraction
Result
30.31416 =
378927
12500
Mixed number:
30
3927
12500
Step 1: Identify the number of decimal places
The decimal 30.31416 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.31416 × 100000 = 3031416
Step 3: Write as a fraction
30.31416 =
3031416
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3031416 and 100000.
GCD(3031416, 100000) = 8
Divide both the numerator and denominator by the GCD:
3031416
100000
=
3031416 ÷ 8
100000 ÷ 8
=
378927
12500
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