Converting 0.866165 to a Fraction
Step-by-step explanation of how to convert 0.866165 to a fraction

Result

0.866165 =
173233
200000

Step 1: Identify the number of decimal places

The decimal 0.866165 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.866165 × 1000000 = 866165

Step 3: Write as a fraction

0.866165 =

866165
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 866165 and 1000000.

GCD(866165, 1000000) = 5

Divide both the numerator and denominator by the GCD:

866165
1000000

=

866165 ÷ 5
1000000 ÷ 5

=

173233
200000
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