Converting 40.8072 to a Fraction
Step-by-step explanation of how to convert 40.8072 to a fraction
Result
40.8072 =
51009
1250
Mixed number:
40
1009
1250
Step 1: Identify the number of decimal places
The decimal 40.8072 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.8072 × 10000 = 408072
Step 3: Write as a fraction
40.8072 =
408072
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 408072 and 10000.
GCD(408072, 10000) = 8
Divide both the numerator and denominator by the GCD:
408072
10000
=
408072 ÷ 8
10000 ÷ 8
=
51009
1250
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