Converting 0.208525 to a Fraction
Step-by-step explanation of how to convert 0.208525 to a fraction

Result

0.208525 =
8341
40000

Step 1: Identify the number of decimal places

The decimal 0.208525 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.208525 × 1000000 = 208525

Step 3: Write as a fraction

0.208525 =

208525
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 208525 and 1000000.

GCD(208525, 1000000) = 25

Divide both the numerator and denominator by the GCD:

208525
1000000

=

208525 ÷ 25
1000000 ÷ 25

=

8341
40000
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