Converting 36.6 to a Fraction
Step-by-step explanation of how to convert 36.6 to a fraction

Result

36.6 =
183
5
Mixed number:
36
3
5

Step 1: Identify the number of decimal places

The decimal 36.6 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

36.6 × 10 = 366

Step 3: Write as a fraction

36.6 =

366
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 366 and 10.

GCD(366, 10) = 2

Divide both the numerator and denominator by the GCD:

366
10

=

366 ÷ 2
10 ÷ 2

=

183
5
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