Converting 36.7536 to a Fraction
Step-by-step explanation of how to convert 36.7536 to a fraction

Result

36.7536 =
22971
625
Mixed number:
36
471
625

Step 1: Identify the number of decimal places

The decimal 36.7536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.7536 × 10000 = 367536

Step 3: Write as a fraction

36.7536 =

367536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 367536 and 10000.

GCD(367536, 10000) = 16

Divide both the numerator and denominator by the GCD:

367536
10000

=

367536 ÷ 16
10000 ÷ 16

=

22971
625
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