The problem asks to express $72\%$ as a fraction in simplest form. The grid is already $72\%$ shaded, and $72\%$ as a decimal is already done.

ArithmeticPercentagesFractionsSimplifying FractionsGreatest Common Divisor (GCD)
2025/4/18

1. Problem Description

The problem asks to express 72%72\% as a fraction in simplest form. The grid is already 72%72\% shaded, and 72%72\% as a decimal is already done.

2. Solution Steps

First, convert the percentage to a fraction by dividing by 100:
72%=7210072\% = \frac{72}{100}
Next, simplify the fraction by finding the greatest common divisor (GCD) of 72 and
1
0

0. The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,

7

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

1
0

0. The greatest common divisor of 72 and 100 is

4.
Divide both the numerator and the denominator by 4:
72100=72÷4100÷4=1825\frac{72}{100} = \frac{72 \div 4}{100 \div 4} = \frac{18}{25}
Since 18 and 25 have no common factors other than 1, the fraction is in simplest form.

3. Final Answer

72%=182572\% = \frac{18}{25}

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