Converting 40.07824 to a Fraction
Step-by-step explanation of how to convert 40.07824 to a fraction
Result
40.07824 =
250489
6250
Mixed number:
40
489
6250
Step 1: Identify the number of decimal places
The decimal 40.07824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.07824 × 100000 = 4007824
Step 3: Write as a fraction
40.07824 =
4007824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4007824 and 100000.
GCD(4007824, 100000) = 16
Divide both the numerator and denominator by the GCD:
4007824
100000
=
4007824 ÷ 16
100000 ÷ 16
=
250489
6250
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