Converting 75.769024 to a Fraction
Step-by-step explanation of how to convert 75.769024 to a fraction
Result
75.769024 =
1183891
15625
Mixed number:
75
12016
15625
Step 1: Identify the number of decimal places
The decimal 75.769024 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
75.769024 × 1000000 = 75769024
Step 3: Write as a fraction
75.769024 =
75769024
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 75769024 and 1000000.
GCD(75769024, 1000000) = 64
Divide both the numerator and denominator by the GCD:
75769024
1000000
=
75769024 ÷ 64
1000000 ÷ 64
=
1183891
15625
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