Converting 0.2016 to a Fraction
Step-by-step explanation of how to convert 0.2016 to a fraction
Result
0.2016 =
126
625
Step 1: Identify the number of decimal places
The decimal 0.2016 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.2016 × 10000 = 2016
Step 3: Write as a fraction
0.2016 =
2016
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2016 and 10000.
GCD(2016, 10000) = 16
Divide both the numerator and denominator by the GCD:
2016
10000
=
2016 ÷ 16
10000 ÷ 16
=
126
625
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