Converting 3.16144 to a Fraction
Step-by-step explanation of how to convert 3.16144 to a fraction

Result

3.16144 =
19759
6250
Mixed number:
3
1009
6250

Step 1: Identify the number of decimal places

The decimal 3.16144 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.16144 × 100000 = 316144

Step 3: Write as a fraction

3.16144 =

316144
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 316144 and 100000.

GCD(316144, 100000) = 16

Divide both the numerator and denominator by the GCD:

316144
100000

=

316144 ÷ 16
100000 ÷ 16

=

19759
6250
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