Converting 4.08072 to a Fraction
Step-by-step explanation of how to convert 4.08072 to a fraction
Result
4.08072 =
51009
12500
Mixed number:
4
1009
12500
Step 1: Identify the number of decimal places
The decimal 4.08072 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.08072 × 100000 = 408072
Step 3: Write as a fraction
4.08072 =
408072
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 408072 and 100000.
GCD(408072, 100000) = 8
Divide both the numerator and denominator by the GCD:
408072
100000
=
408072 ÷ 8
100000 ÷ 8
=
51009
12500
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