Converting 40.169728 to a Fraction
Step-by-step explanation of how to convert 40.169728 to a fraction
Result
40.169728 =
627652
15625
Mixed number:
40
2652
15625
Step 1: Identify the number of decimal places
The decimal 40.169728 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.169728 × 1000000 = 40169728
Step 3: Write as a fraction
40.169728 =
40169728
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40169728 and 1000000.
GCD(40169728, 1000000) = 64
Divide both the numerator and denominator by the GCD:
40169728
1000000
=
40169728 ÷ 64
1000000 ÷ 64
=
627652
15625
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