Converting 30.9892 to a Fraction
Step-by-step explanation of how to convert 30.9892 to a fraction
Result
30.9892 =
77473
2500
Mixed number:
30
2473
2500
Step 1: Identify the number of decimal places
The decimal 30.9892 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.9892 × 10000 = 309892
Step 3: Write as a fraction
30.9892 =
309892
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309892 and 10000.
GCD(309892, 10000) = 4
Divide both the numerator and denominator by the GCD:
309892
10000
=
309892 ÷ 4
10000 ÷ 4
=
77473
2500
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