Converting 40.8224 to a Fraction
Step-by-step explanation of how to convert 40.8224 to a fraction
Result
40.8224 =
25514
625
Mixed number:
40
514
625
Step 1: Identify the number of decimal places
The decimal 40.8224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.8224 × 10000 = 408224
Step 3: Write as a fraction
40.8224 =
408224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 408224 and 10000.
GCD(408224, 10000) = 16
Divide both the numerator and denominator by the GCD:
408224
10000
=
408224 ÷ 16
10000 ÷ 16
=
25514
625
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