The problem asks to convert the percentage $68\%$ into a fraction.

ArithmeticPercentagesFractionsSimplificationGreatest Common Divisor (GCD)
2025/4/16

1. Problem Description

The problem asks to convert the percentage 68%68\% into a fraction.

2. Solution Steps

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the fraction.
68\% = \frac{68}{100}
Now we simplify the fraction 68100\frac{68}{100} by finding the greatest common divisor (GCD) of 68 and
1
0

0. The factors of 68 are 1, 2, 4, 17, 34, and

6

8. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and

1
0

0. The GCD of 68 and 100 is

4. Now we divide both the numerator and the denominator by 4:

\frac{68}{100} = \frac{68 \div 4}{100 \div 4} = \frac{17}{25}

3. Final Answer

The fraction is 1725\frac{17}{25}.

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