Converting 7.89664 to a Fraction
Step-by-step explanation of how to convert 7.89664 to a fraction

Result

7.89664 =
24677
3125
Mixed number:
7
2802
3125

Step 1: Identify the number of decimal places

The decimal 7.89664 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.89664 × 100000 = 789664

Step 3: Write as a fraction

7.89664 =

789664
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 789664 and 100000.

GCD(789664, 100000) = 32

Divide both the numerator and denominator by the GCD:

789664
100000

=

789664 ÷ 32
100000 ÷ 32

=

24677
3125
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