Converting 0.825205 to a Fraction
Step-by-step explanation of how to convert 0.825205 to a fraction

Result

0.825205 =
165041
200000

Step 1: Identify the number of decimal places

The decimal 0.825205 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.825205 × 1000000 = 825205

Step 3: Write as a fraction

0.825205 =

825205
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 825205 and 1000000.

GCD(825205, 1000000) = 5

Divide both the numerator and denominator by the GCD:

825205
1000000

=

825205 ÷ 5
1000000 ÷ 5

=

165041
200000
Related Conversions
Other decimal to fraction conversions you might find useful