Converting 0.212 to a Fraction
Step-by-step explanation of how to convert 0.212 to a fraction

Result

0.212 =
53
250

Step 1: Identify the number of decimal places

The decimal 0.212 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.212 × 1000 = 212

Step 3: Write as a fraction

0.212 =

212
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 212 and 1000.

GCD(212, 1000) = 4

Divide both the numerator and denominator by the GCD:

212
1000

=

212 ÷ 4
1000 ÷ 4

=

53
250
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