Converting 36.82 to a Fraction
Step-by-step explanation of how to convert 36.82 to a fraction

Result

36.82 =
1841
50
Mixed number:
36
41
50

Step 1: Identify the number of decimal places

The decimal 36.82 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

36.82 × 100 = 3682

Step 3: Write as a fraction

36.82 =

3682
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3682 and 100.

GCD(3682, 100) = 2

Divide both the numerator and denominator by the GCD:

3682
100

=

3682 ÷ 2
100 ÷ 2

=

1841
50
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