1. **State the problem:** Convert each percentage to a fraction in its simplest form. 2. **Formula and rules:** To convert a percentage to a fraction, use the formula: $$\text{Percentage} = \frac{\text{Percentage value}}{100}$$ Then simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). 3. **Convert and simplify each:** **a) 65%** $$65\% = \frac{65}{100}$$ Divide numerator and denominator by 5: $$\frac{\cancel{65}^{13}}{\cancel{100}^{20}} = \frac{13}{20}$$ **b) 7.2%** Write 7.2% as $$\frac{7.2}{100} = \frac{72}{1000}$$ (multiply numerator and denominator by 10 to remove decimal) Simplify by dividing numerator and denominator by 4: $$\frac{\cancel{72}^{18}}{\cancel{1000}^{250}} = \frac{18}{250}$$ Simplify further by dividing numerator and denominator by 2: $$\frac{\cancel{18}^{9}}{\cancel{250}^{125}} = \frac{9}{125}$$ **c) 115%** $$115\% = \frac{115}{100}$$ Divide numerator and denominator by 5: $$\frac{\cancel{115}^{23}}{\cancel{100}^{20}} = \frac{23}{20}$$ **d) 45%** $$45\% = \frac{45}{100}$$ Divide numerator and denominator by 5: $$\frac{\cancel{45}^{9}}{\cancel{100}^{20}} = \frac{9}{20}$$ **e) 2.5%** Write 2.5% as $$\frac{2.5}{100} = \frac{25}{1000}$$ (multiply numerator and denominator by 10) Divide numerator and denominator by 25: $$\frac{\cancel{25}^{1}}{\cancel{1000}^{40}} = \frac{1}{40}$$ 4. **Final answers:** - a) $\frac{13}{20}$ - b) $\frac{9}{125}$ - c) $\frac{23}{20}$ - d) $\frac{9}{20}$ - e) $\frac{1}{40}$