Converting 1.214 to a Fraction
Step-by-step explanation of how to convert 1.214 to a fraction

Result

1.214 =
607
500
Mixed number:
1
107
500

Step 1: Identify the number of decimal places

The decimal 1.214 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.214 × 1000 = 1214

Step 3: Write as a fraction

1.214 =

1214
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1214 and 1000.

GCD(1214, 1000) = 2

Divide both the numerator and denominator by the GCD:

1214
1000

=

1214 ÷ 2
1000 ÷ 2

=

607
500
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