Converting 40.769728 to a Fraction
Step-by-step explanation of how to convert 40.769728 to a fraction
Result
40.769728 =
637027
15625
Mixed number:
40
12027
15625
Step 1: Identify the number of decimal places
The decimal 40.769728 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.769728 × 1000000 = 40769728
Step 3: Write as a fraction
40.769728 =
40769728
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40769728 and 1000000.
GCD(40769728, 1000000) = 64
Divide both the numerator and denominator by the GCD:
40769728
1000000
=
40769728 ÷ 64
1000000 ÷ 64
=
637027
15625
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