Converting 16.1408 to a Fraction
Step-by-step explanation of how to convert 16.1408 to a fraction

Result

16.1408 =
10088
625
Mixed number:
16
88
625

Step 1: Identify the number of decimal places

The decimal 16.1408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

16.1408 × 10000 = 161408

Step 3: Write as a fraction

16.1408 =

161408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 161408 and 10000.

GCD(161408, 10000) = 16

Divide both the numerator and denominator by the GCD:

161408
10000

=

161408 ÷ 16
10000 ÷ 16

=

10088
625
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