Converting 12.2048 to a Fraction
Step-by-step explanation of how to convert 12.2048 to a fraction
Result
12.2048 =
7628
625
Mixed number:
12
128
625
Step 1: Identify the number of decimal places
The decimal 12.2048 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
12.2048 × 10000 = 122048
Step 3: Write as a fraction
12.2048 =
122048
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 122048 and 10000.
GCD(122048, 10000) = 16
Divide both the numerator and denominator by the GCD:
122048
10000
=
122048 ÷ 16
10000 ÷ 16
=
7628
625
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