Converting 30.2296 to a Fraction
Step-by-step explanation of how to convert 30.2296 to a fraction
Result
30.2296 =
37787
1250
Mixed number:
30
287
1250
Step 1: Identify the number of decimal places
The decimal 30.2296 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.2296 × 10000 = 302296
Step 3: Write as a fraction
30.2296 =
302296
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 302296 and 10000.
GCD(302296, 10000) = 8
Divide both the numerator and denominator by the GCD:
302296
10000
=
302296 ÷ 8
10000 ÷ 8
=
37787
1250
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