Converting 28.1824 to a Fraction
Step-by-step explanation of how to convert 28.1824 to a fraction
Result
28.1824 =
17614
625
Mixed number:
28
114
625
Step 1: Identify the number of decimal places
The decimal 28.1824 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
28.1824 × 10000 = 281824
Step 3: Write as a fraction
28.1824 =
281824
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 281824 and 10000.
GCD(281824, 10000) = 16
Divide both the numerator and denominator by the GCD:
281824
10000
=
281824 ÷ 16
10000 ÷ 16
=
17614
625
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