Converting 40.7184 to a Fraction
Step-by-step explanation of how to convert 40.7184 to a fraction
Result
40.7184 =
25449
625
Mixed number:
40
449
625
Step 1: Identify the number of decimal places
The decimal 40.7184 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.7184 × 10000 = 407184
Step 3: Write as a fraction
40.7184 =
407184
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 407184 and 10000.
GCD(407184, 10000) = 16
Divide both the numerator and denominator by the GCD:
407184
10000
=
407184 ÷ 16
10000 ÷ 16
=
25449
625
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