The problem asks us to represent $16\%$ in three ways: - Shade the grid to represent $16\%$. - Write $16\%$ as a decimal (already done in the image). - Write $16\%$ as a simplified fraction.

ArithmeticPercentagesFractionsSimplificationGreatest Common Divisor (GCD)
2025/4/18

1. Problem Description

The problem asks us to represent 16%16\% in three ways:
- Shade the grid to represent 16%16\%.
- Write 16%16\% as a decimal (already done in the image).
- Write 16%16\% as a simplified fraction.

2. Solution Steps

First, the grid has 1010 rows and 1010 columns, so there are a total of 10×10=10010 \times 10 = 100 squares.
16%16\% means 1616 out of 100100, so we need to shade 1616 squares.
The first row is completely shaded, which includes 1010 squares. Then, we have 66 more squares to shade in the second row.
Now, let's convert 16%16\% to a fraction.
16%=1610016\% = \frac{16}{100}
We need to simplify the fraction by finding the greatest common divisor (GCD) of 1616 and 100100.
The factors of 1616 are 1,2,4,8,161, 2, 4, 8, 16.
The factors of 100100 are 1,2,4,5,10,20,25,50,1001, 2, 4, 5, 10, 20, 25, 50, 100.
The GCD of 1616 and 100100 is 44.
Divide both the numerator and the denominator by 44:
16100=16÷4100÷4=425\frac{16}{100} = \frac{16 \div 4}{100 \div 4} = \frac{4}{25}

3. Final Answer

The simplified fraction is 425\frac{4}{25}.