Converting 0.206875 to a Fraction
Step-by-step explanation of how to convert 0.206875 to a fraction

Result

0.206875 =
331
1600

Step 1: Identify the number of decimal places

The decimal 0.206875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.206875 × 1000000 = 206875

Step 3: Write as a fraction

0.206875 =

206875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 206875 and 1000000.

GCD(206875, 1000000) = 625

Divide both the numerator and denominator by the GCD:

206875
1000000

=

206875 ÷ 625
1000000 ÷ 625

=

331
1600
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