Converting 0.199 to a Fraction
Step-by-step explanation of how to convert 0.199 to a fraction
Result
0.199 =
199
1000
Step 1: Identify the number of decimal places
The decimal 0.199 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.199 × 1000 = 199
Step 3: Write as a fraction
0.199 =
199
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 199 and 1000.
GCD(199, 1000) = 1
Divide both the numerator and denominator by the GCD:
199
1000
=
199 ÷ 1
1000 ÷ 1
=
199
1000
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