Nathe: \( \qquad \) Date: \( \qquad \) DECIMALS AND PERCENTAGES N-GEN MATH 7 HOMEWORK FIHENEY 1. For each of the following percent values, give the fraction of the whole it represents and give the decimal version of the fraction. The first is done as an examplo. (a) \( 22 \% \) fraction: \( \frac{22}{100} \) deoimal: 0.22

Sure, I'd be happy to help you with the rest of your homework on **Decimals and Percentages**. Let's continue with additional examples similar to part (a): --- **1. For each of the following percent values, give the fraction of the whole it represents and give the decimal version of the fraction.** --- **(a) \( 22\% \)** *Fraction:* \( \frac{22}{100} \) *Decimal:* 0.22 --- **(b) \( 45\% \)** *Fraction:* \( \frac{45}{100} \) *Simplified Fraction:* \( \frac{9}{20} \) *Decimal:* 0.45 **Explanation:** - **Fraction:** Start by writing 45% as \( \frac{45}{100} \). - **Simplify:** Both numerator and denominator can be divided by 5: \( \frac{45 ÷ 5}{100 ÷ 5} = \frac{9}{20} \). - **Decimal:** Divide 45 by 100, which equals 0.45. --- **(c) \( 60\% \)** *Fraction:* \( \frac{60}{100} \) *Simplified Fraction:* \( \frac{3}{5} \) *Decimal:* 0.60 **Explanation:** - **Fraction:** 60% is \( \frac{60}{100} \). - **Simplify:** Divide numerator and denominator by 20: \( \frac{60 ÷ 20}{100 ÷ 20} = \frac{3}{5} \). - **Decimal:** 60 ÷ 100 = 0.60. --- **(d) \( 75\% \)** *Fraction:* \( \frac{75}{100} \) *Simplified Fraction:* \( \frac{3}{4} \) *Decimal:* 0.75 **Explanation:** - **Fraction:** 75% is \( \frac{75}{100} \). - **Simplify:** Divide numerator and denominator by 25: \( \frac{75 ÷ 25}{100 ÷ 25} = \frac{3}{4} \). - **Decimal:** 75 ÷ 100 = 0.75. --- **(e) \( 18\% \)** *Fraction:* \( \frac{18}{100} \) *Simplified Fraction:* \( \frac{9}{50} \) *Decimal:* 0.18 **Explanation:** - **Fraction:** 18% is \( \frac{18}{100} \). - **Simplify:** Divide numerator and denominator by 2: \( \frac{18 ÷ 2}{100 ÷ 2} = \frac{9}{50} \). - **Decimal:** 18 ÷ 100 = 0.18. --- **(f) \( 33\% \)** *Fraction:* \( \frac{33}{100} \) *Decimal:* 0.33 **Explanation:** - **Fraction:** 33% is \( \frac{33}{100} \). (Cannot be simplified further.) - **Decimal:** 33 ÷ 100 = 0.33. --- **(g) \( 50\% \)** *Fraction:* \( \frac{50}{100} \) *Simplified Fraction:* \( \frac{1}{2} \) *Decimal:* 0.50 **Explanation:** - **Fraction:** 50% is \( \frac{50}{100} \). - **Simplify:** Divide numerator and denominator by 50: \( \frac{50 ÷ 50}{100 ÷ 50} = \frac{1}{2} \). - **Decimal:** 50 ÷ 100 = 0.50. --- **(h) \( 12.5\% \)** *Fraction:* \( \frac{12.5}{100} \) *Simplified Fraction:* \( \frac{1}{8} \) *Decimal:* 0.125 **Explanation:** - **Fraction:** 12.5% is \( \frac{12.5}{100} \). - **Simplify:** Multiply numerator and denominator by 2 to eliminate the decimal: \( \frac{25}{200} = \frac{1}{8} \). - **Decimal:** 12.5 ÷ 100 = 0.125. --- **(i) \( 5\% \)** *Fraction:* \( \frac{5}{100} \) *Simplified Fraction:* \( \frac{1}{20} \) *Decimal:* 0.05 **Explanation:** - **Fraction:** 5% is \( \frac{5}{100} \). - **Simplify:** Divide numerator and denominator by 5: \( \frac{5 ÷ 5}{100 ÷ 5} = \frac{1}{20} \). - **Decimal:** 5 ÷ 100 = 0.05. --- **(j) \( 88\% \)** *Fraction:* \( \frac{88}{100} \) *Simplified Fraction:* \( \frac{22}{25} \) *Decimal:* 0.88 **Explanation:** - **Fraction:** 88% is \( \frac{88}{100} \). - **Simplify:** Divide numerator and denominator by 4: \( \frac{88 ÷ 4}{100 ÷ 4} = \frac{22}{25} \). - **Decimal:** 88 ÷ 100 = 0.88. --- Feel free to use these examples as a guide for converting any percentage to its corresponding fraction and decimal form. If you have more specific percentages you need help with or any other questions, let me know!