Converting 0.198725 to a Fraction
Step-by-step explanation of how to convert 0.198725 to a fraction

Result

0.198725 =
7949
40000

Step 1: Identify the number of decimal places

The decimal 0.198725 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.198725 × 1000000 = 198725

Step 3: Write as a fraction

0.198725 =

198725
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 198725 and 1000000.

GCD(198725, 1000000) = 25

Divide both the numerator and denominator by the GCD:

198725
1000000

=

198725 ÷ 25
1000000 ÷ 25

=

7949
40000
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