Converting 0.218 to a Fraction
Step-by-step explanation of how to convert 0.218 to a fraction
Result
0.218 =
109
500
Step 1: Identify the number of decimal places
The decimal 0.218 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.218 × 1000 = 218
Step 3: Write as a fraction
0.218 =
218
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 218 and 1000.
GCD(218, 1000) = 2
Divide both the numerator and denominator by the GCD:
218
1000
=
218 ÷ 2
1000 ÷ 2
=
109
500
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