Converting 40.5184 to a Fraction
Step-by-step explanation of how to convert 40.5184 to a fraction

Result

40.5184 =
25324
625
Mixed number:
40
324
625

Step 1: Identify the number of decimal places

The decimal 40.5184 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.5184 × 10000 = 405184

Step 3: Write as a fraction

40.5184 =

405184
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 405184 and 10000.

GCD(405184, 10000) = 16

Divide both the numerator and denominator by the GCD:

405184
10000

=

405184 ÷ 16
10000 ÷ 16

=

25324
625
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