The problem asks us to represent 8% in three ways: using a grid, as a decimal, and as a fraction in simplest form. The grid already has 8 squares shaded to represent 8%. We need to convert 8% to a decimal and a simplified fraction.

ArithmeticPercentageDecimal ConversionFraction SimplificationFractions
2025/4/18

1. Problem Description

The problem asks us to represent 8% in three ways: using a grid, as a decimal, and as a fraction in simplest form. The grid already has 8 squares shaded to represent 8%. We need to convert 8% to a decimal and a simplified fraction.

2. Solution Steps

First, we convert 8% to a decimal. Percent means "out of one hundred", so 8% is equivalent to 8100\frac{8}{100}.
To convert a fraction to a decimal, we divide the numerator by the denominator.
8100=0.08\frac{8}{100} = 0.08
Next, we convert 8% to a simplified fraction. We already know that 8% is equal to 8100\frac{8}{100}. To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 8 and 100 is

4. Divide both the numerator and the denominator by 4:

8100=8÷4100÷4=225\frac{8}{100} = \frac{8 \div 4}{100 \div 4} = \frac{2}{25}

3. Final Answer

8% as a decimal: 0.08
8% as a fraction in simplest form: 225\frac{2}{25}

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