Converting 0.1214 to a Fraction
Step-by-step explanation of how to convert 0.1214 to a fraction

Result

0.1214 =
607
5000

Step 1: Identify the number of decimal places

The decimal 0.1214 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1214 × 10000 = 1214

Step 3: Write as a fraction

0.1214 =

1214
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1214 and 10000.

GCD(1214, 10000) = 2

Divide both the numerator and denominator by the GCD:

1214
10000

=

1214 ÷ 2
10000 ÷ 2

=

607
5000
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