Converting 40.2184 to a Fraction
Step-by-step explanation of how to convert 40.2184 to a fraction
Result
40.2184 =
50273
1250
Mixed number:
40
273
1250
Step 1: Identify the number of decimal places
The decimal 40.2184 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.2184 × 10000 = 402184
Step 3: Write as a fraction
40.2184 =
402184
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 402184 and 10000.
GCD(402184, 10000) = 8
Divide both the numerator and denominator by the GCD:
402184
10000
=
402184 ÷ 8
10000 ÷ 8
=
50273
1250
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