Converting 30.2276 to a Fraction
Step-by-step explanation of how to convert 30.2276 to a fraction
Result
30.2276 =
75569
2500
Mixed number:
30
569
2500
Step 1: Identify the number of decimal places
The decimal 30.2276 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
30.2276 × 10000 = 302276
Step 3: Write as a fraction
30.2276 =
302276
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 302276 and 10000.
GCD(302276, 10000) = 4
Divide both the numerator and denominator by the GCD:
302276
10000
=
302276 ÷ 4
10000 ÷ 4
=
75569
2500
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