Converting 19.345 to a Fraction
Step-by-step explanation of how to convert 19.345 to a fraction

Result

19.345 =
3869
200
Mixed number:
19
69
200

Step 1: Identify the number of decimal places

The decimal 19.345 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

19.345 × 1000 = 19345

Step 3: Write as a fraction

19.345 =

19345
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 19345 and 1000.

GCD(19345, 1000) = 5

Divide both the numerator and denominator by the GCD:

19345
1000

=

19345 ÷ 5
1000 ÷ 5

=

3869
200
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