Converting 36.4624 to a Fraction
Step-by-step explanation of how to convert 36.4624 to a fraction

Result

36.4624 =
22789
625
Mixed number:
36
289
625

Step 1: Identify the number of decimal places

The decimal 36.4624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.4624 × 10000 = 364624

Step 3: Write as a fraction

36.4624 =

364624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 364624 and 10000.

GCD(364624, 10000) = 16

Divide both the numerator and denominator by the GCD:

364624
10000

=

364624 ÷ 16
10000 ÷ 16

=

22789
625
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