Converting 16.4258 to a Fraction
Step-by-step explanation of how to convert 16.4258 to a fraction

Result

16.4258 =
82129
5000
Mixed number:
16
2129
5000

Step 1: Identify the number of decimal places

The decimal 16.4258 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.4258 × 10000 = 164258

Step 3: Write as a fraction

16.4258 =

164258
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 164258 and 10000.

GCD(164258, 10000) = 2

Divide both the numerator and denominator by the GCD:

164258
10000

=

164258 ÷ 2
10000 ÷ 2

=

82129
5000
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