Converting 1.6214 to a Fraction
Step-by-step explanation of how to convert 1.6214 to a fraction

Result

1.6214 =
8107
5000
Mixed number:
1
3107
5000

Step 1: Identify the number of decimal places

The decimal 1.6214 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.6214 × 10000 = 16214

Step 3: Write as a fraction

1.6214 =

16214
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 16214 and 10000.

GCD(16214, 10000) = 2

Divide both the numerator and denominator by the GCD:

16214
10000

=

16214 ÷ 2
10000 ÷ 2

=

8107
5000
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