Converting 0.213764 to a Fraction
Step-by-step explanation of how to convert 0.213764 to a fraction
Result
0.213764 =
53441
250000
Step 1: Identify the number of decimal places
The decimal 0.213764 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.213764 × 1000000 = 213764
Step 3: Write as a fraction
0.213764 =
213764
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 213764 and 1000000.
GCD(213764, 1000000) = 4
Divide both the numerator and denominator by the GCD:
213764
1000000
=
213764 ÷ 4
1000000 ÷ 4
=
53441
250000
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