Converting 36.4944 to a Fraction
Step-by-step explanation of how to convert 36.4944 to a fraction

Result

36.4944 =
22809
625
Mixed number:
36
309
625

Step 1: Identify the number of decimal places

The decimal 36.4944 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.4944 × 10000 = 364944

Step 3: Write as a fraction

36.4944 =

364944
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 364944 and 10000.

GCD(364944, 10000) = 16

Divide both the numerator and denominator by the GCD:

364944
10000

=

364944 ÷ 16
10000 ÷ 16

=

22809
625
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