Converting 3.214 to a Fraction
Step-by-step explanation of how to convert 3.214 to a fraction
Result
3.214 =
1607
500
Mixed number:
3
107
500
Step 1: Identify the number of decimal places
The decimal 3.214 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.214 × 1000 = 3214
Step 3: Write as a fraction
3.214 =
3214
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3214 and 1000.
GCD(3214, 1000) = 2
Divide both the numerator and denominator by the GCD:
3214
1000
=
3214 ÷ 2
1000 ÷ 2
=
1607
500
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