Converting 75.23808 to a Fraction
Step-by-step explanation of how to convert 75.23808 to a fraction
Result
75.23808 =
235119
3125
Mixed number:
75
744
3125
Step 1: Identify the number of decimal places
The decimal 75.23808 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
75.23808 × 100000 = 7523808
Step 3: Write as a fraction
75.23808 =
7523808
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7523808 and 100000.
GCD(7523808, 100000) = 32
Divide both the numerator and denominator by the GCD:
7523808
100000
=
7523808 ÷ 32
100000 ÷ 32
=
235119
3125
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