Converting 7.69664 to a Fraction
Step-by-step explanation of how to convert 7.69664 to a fraction
Result
7.69664 =
24052
3125
Mixed number:
7
2177
3125
Step 1: Identify the number of decimal places
The decimal 7.69664 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
7.69664 × 100000 = 769664
Step 3: Write as a fraction
7.69664 =
769664
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 769664 and 100000.
GCD(769664, 100000) = 32
Divide both the numerator and denominator by the GCD:
769664
100000
=
769664 ÷ 32
100000 ÷ 32
=
24052
3125
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