Converting 40.493728 to a Fraction
Step-by-step explanation of how to convert 40.493728 to a fraction
Result
40.493728 =
1265429
31250
Mixed number:
40
15429
31250
Step 1: Identify the number of decimal places
The decimal 40.493728 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.493728 × 1000000 = 40493728
Step 3: Write as a fraction
40.493728 =
40493728
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40493728 and 1000000.
GCD(40493728, 1000000) = 32
Divide both the numerator and denominator by the GCD:
40493728
1000000
=
40493728 ÷ 32
1000000 ÷ 32
=
1265429
31250
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