Converting 0.213856 to a Fraction
Step-by-step explanation of how to convert 0.213856 to a fraction

Result

0.213856 =
6683
31250

Step 1: Identify the number of decimal places

The decimal 0.213856 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.213856 × 1000000 = 213856

Step 3: Write as a fraction

0.213856 =

213856
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 213856 and 1000000.

GCD(213856, 1000000) = 32

Divide both the numerator and denominator by the GCD:

213856
1000000

=

213856 ÷ 32
1000000 ÷ 32

=

6683
31250
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