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%.
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 . We need to express as a fraction in simplest form.
First, we write as a fraction:
.
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:
.
Since 13 is a prime number and 13 is not a factor of 50, the fraction is in simplest form.