Converting 40.4808 to a Fraction
Step-by-step explanation of how to convert 40.4808 to a fraction
Result
40.4808 =
50601
1250
Mixed number:
40
601
1250
Step 1: Identify the number of decimal places
The decimal 40.4808 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.4808 × 10000 = 404808
Step 3: Write as a fraction
40.4808 =
404808
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 404808 and 10000.
GCD(404808, 10000) = 8
Divide both the numerator and denominator by the GCD:
404808
10000
=
404808 ÷ 8
10000 ÷ 8
=
50601
1250
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