Converting 19.445 to a Fraction
Step-by-step explanation of how to convert 19.445 to a fraction
Result
19.445 =
3889
200
Mixed number:
19
89
200
Step 1: Identify the number of decimal places
The decimal 19.445 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
19.445 × 1000 = 19445
Step 3: Write as a fraction
19.445 =
19445
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 19445 and 1000.
GCD(19445, 1000) = 5
Divide both the numerator and denominator by the GCD:
19445
1000
=
19445 ÷ 5
1000 ÷ 5
=
3889
200
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