Converting 19.836 to a Fraction
Step-by-step explanation of how to convert 19.836 to a fraction
Result
19.836 =
4959
250
Mixed number:
19
209
250
Step 1: Identify the number of decimal places
The decimal 19.836 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
19.836 × 1000 = 19836
Step 3: Write as a fraction
19.836 =
19836
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 19836 and 1000.
GCD(19836, 1000) = 4
Divide both the numerator and denominator by the GCD:
19836
1000
=
19836 ÷ 4
1000 ÷ 4
=
4959
250
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