Converting 36.7424 to a Fraction
Step-by-step explanation of how to convert 36.7424 to a fraction

Result

36.7424 =
22964
625
Mixed number:
36
464
625

Step 1: Identify the number of decimal places

The decimal 36.7424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

36.7424 × 10000 = 367424

Step 3: Write as a fraction

36.7424 =

367424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 367424 and 10000.

GCD(367424, 10000) = 16

Divide both the numerator and denominator by the GCD:

367424
10000

=

367424 ÷ 16
10000 ÷ 16

=

22964
625
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