The problem asks us to express $44\%$ in three ways: visually by shading a grid, as a decimal, and as a simplified fraction. The decimal representation is already provided. We need to determine the simplified fraction representation of $44\%$.

ArithmeticPercentagesFractionsSimplificationGreatest Common Divisor (GCD)
2025/4/18

1. Problem Description

The problem asks us to express 44%44\% in three ways: visually by shading a grid, as a decimal, and as a simplified fraction. The decimal representation is already provided. We need to determine the simplified fraction representation of 44%44\%.

2. Solution Steps

First, we express the percentage as a fraction out of
1
0
0.
44%=4410044\% = \frac{44}{100}
Now, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 44 and 100 is
4.
Divide both the numerator and denominator by 4:
444=11\frac{44}{4} = 11
1004=25\frac{100}{4} = 25
Therefore, the simplified fraction is 1125\frac{11}{25}.

3. Final Answer

1125\frac{11}{25}