Converting 19.745 to a Fraction
Step-by-step explanation of how to convert 19.745 to a fraction
Result
19.745 =
3949
200
Mixed number:
19
149
200
Step 1: Identify the number of decimal places
The decimal 19.745 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
19.745 × 1000 = 19745
Step 3: Write as a fraction
19.745 =
19745
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 19745 and 1000.
GCD(19745, 1000) = 5
Divide both the numerator and denominator by the GCD:
19745
1000
=
19745 ÷ 5
1000 ÷ 5
=
3949
200
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