Converting 40.3456 to a Fraction
Step-by-step explanation of how to convert 40.3456 to a fraction
Result
40.3456 =
25216
625
Mixed number:
40
216
625
Step 1: Identify the number of decimal places
The decimal 40.3456 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.3456 × 10000 = 403456
Step 3: Write as a fraction
40.3456 =
403456
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 403456 and 10000.
GCD(403456, 10000) = 16
Divide both the numerator and denominator by the GCD:
403456
10000
=
403456 ÷ 16
10000 ÷ 16
=
25216
625
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