The problem asks us to express 26% as a decimal (which is already given) and as a fraction in simplest form. The grid already has 26 squares shaded to represent 26%.

ArithmeticPercentagesFractionsSimplifying FractionsGreatest Common Divisor
2025/4/18

1. Problem Description

The problem asks us to express 26% as a decimal (which is already given) and as a fraction in simplest form. The grid already has 26 squares shaded to represent 26%.

2. Solution Steps

We are given that 26%=0.2626\% = 0.26. We need to express 26%26\% as a fraction in simplest form.
First, we write 26%26\% as a fraction:
26%=2610026\% = \frac{26}{100}.
Now, we simplify the fraction by finding the greatest common divisor (GCD) of 26 and
1
0

0. The factors of 26 are 1, 2, 13, and

2

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

1
0

0. The GCD of 26 and 100 is

2. Divide both the numerator and the denominator by 2:

26100=26÷2100÷2=1350\frac{26}{100} = \frac{26 \div 2}{100 \div 2} = \frac{13}{50}.
Since 13 is a prime number and 13 is not a factor of 50, the fraction 1350\frac{13}{50} is in simplest form.

3. Final Answer

1350\frac{13}{50}

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