Converting 36.3676 to a Fraction
Step-by-step explanation of how to convert 36.3676 to a fraction

Result

36.3676 =
90919
2500
Mixed number:
36
919
2500

Step 1: Identify the number of decimal places

The decimal 36.3676 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.3676 × 10000 = 363676

Step 3: Write as a fraction

36.3676 =

363676
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 363676 and 10000.

GCD(363676, 10000) = 4

Divide both the numerator and denominator by the GCD:

363676
10000

=

363676 ÷ 4
10000 ÷ 4

=

90919
2500
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