Converting 7.68208 to a Fraction
Step-by-step explanation of how to convert 7.68208 to a fraction

Result

7.68208 =
48013
6250
Mixed number:
7
4263
6250

Step 1: Identify the number of decimal places

The decimal 7.68208 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.68208 × 100000 = 768208

Step 3: Write as a fraction

7.68208 =

768208
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 768208 and 100000.

GCD(768208, 100000) = 16

Divide both the numerator and denominator by the GCD:

768208
100000

=

768208 ÷ 16
100000 ÷ 16

=

48013
6250
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