Converting 0.198945 to a Fraction
Step-by-step explanation of how to convert 0.198945 to a fraction

Result

0.198945 =
39789
200000

Step 1: Identify the number of decimal places

The decimal 0.198945 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.198945 × 1000000 = 198945

Step 3: Write as a fraction

0.198945 =

198945
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 198945 and 1000000.

GCD(198945, 1000000) = 5

Divide both the numerator and denominator by the GCD:

198945
1000000

=

198945 ÷ 5
1000000 ÷ 5

=

39789
200000
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