Converting 0.198 to a Fraction
Step-by-step explanation of how to convert 0.198 to a fraction

Result

0.198 =
99
500

Step 1: Identify the number of decimal places

The decimal 0.198 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.198 × 1000 = 198

Step 3: Write as a fraction

0.198 =

198
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 198 and 1000.

GCD(198, 1000) = 2

Divide both the numerator and denominator by the GCD:

198
1000

=

198 ÷ 2
1000 ÷ 2

=

99
500
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