Converting 40.78232 to a Fraction
Step-by-step explanation of how to convert 40.78232 to a fraction
Result
40.78232 =
509779
12500
Mixed number:
40
9779
12500
Step 1: Identify the number of decimal places
The decimal 40.78232 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.78232 × 100000 = 4078232
Step 3: Write as a fraction
40.78232 =
4078232
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4078232 and 100000.
GCD(4078232, 100000) = 8
Divide both the numerator and denominator by the GCD:
4078232
100000
=
4078232 ÷ 8
100000 ÷ 8
=
509779
12500
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