The problem asks to convert the percentage $75\%$ into a fraction.

ArithmeticPercentagesFractionsSimplificationGreatest Common Divisor (GCD)
2025/4/18

1. Problem Description

The problem asks to convert the percentage 75%75\% into a fraction.

2. Solution Steps

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction.
75%=7510075\% = \frac{75}{100}
Now, we simplify the fraction by finding the greatest common divisor (GCD) of 75 and
1
0

0. The factors of 75 are 1, 3, 5, 15, 25, and

7

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

1
0

0. The greatest common divisor of 75 and 100 is

2

5. Divide both the numerator and the denominator by 25:

75100=75÷25100÷25=34\frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4}

3. Final Answer

34\frac{3}{4}