Converting 40.409728 to a Fraction
Step-by-step explanation of how to convert 40.409728 to a fraction
Result
40.409728 =
631402
15625
Mixed number:
40
6402
15625
Step 1: Identify the number of decimal places
The decimal 40.409728 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.409728 × 1000000 = 40409728
Step 3: Write as a fraction
40.409728 =
40409728
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40409728 and 1000000.
GCD(40409728, 1000000) = 64
Divide both the numerator and denominator by the GCD:
40409728
1000000
=
40409728 ÷ 64
1000000 ÷ 64
=
631402
15625
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