Converting 0.366 to a Fraction
Step-by-step explanation of how to convert 0.366 to a fraction

Result

0.366 =
183
500

Step 1: Identify the number of decimal places

The decimal 0.366 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.366 × 1000 = 366

Step 3: Write as a fraction

0.366 =

366
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 366 and 1000.

GCD(366, 1000) = 2

Divide both the numerator and denominator by the GCD:

366
1000

=

366 ÷ 2
1000 ÷ 2

=

183
500
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