Converting 49.2304 to a Fraction
Step-by-step explanation of how to convert 49.2304 to a fraction
Result
49.2304 =
30769
625
Mixed number:
49
144
625
Step 1: Identify the number of decimal places
The decimal 49.2304 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
49.2304 × 10000 = 492304
Step 3: Write as a fraction
49.2304 =
492304
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 492304 and 10000.
GCD(492304, 10000) = 16
Divide both the numerator and denominator by the GCD:
492304
10000
=
492304 ÷ 16
10000 ÷ 16
=
30769
625
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