Converting 0.206175 to a Fraction
Step-by-step explanation of how to convert 0.206175 to a fraction

Result

0.206175 =
8247
40000

Step 1: Identify the number of decimal places

The decimal 0.206175 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.206175 × 1000000 = 206175

Step 3: Write as a fraction

0.206175 =

206175
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 206175 and 1000000.

GCD(206175, 1000000) = 25

Divide both the numerator and denominator by the GCD:

206175
1000000

=

206175 ÷ 25
1000000 ÷ 25

=

8247
40000
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