Converting 30.9282 to a Fraction
Step-by-step explanation of how to convert 30.9282 to a fraction
Result
30.9282 =
154641
5000
Mixed number:
30
4641
5000
Step 1: Identify the number of decimal places
The decimal 30.9282 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.9282 × 10000 = 309282
Step 3: Write as a fraction
30.9282 =
309282
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309282 and 10000.
GCD(309282, 10000) = 2
Divide both the numerator and denominator by the GCD:
309282
10000
=
309282 ÷ 2
10000 ÷ 2
=
154641
5000
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