Fraction

1. 1 3 2 3 Percent 33 % 66 % 1 10 Fraction The table shows common percents and their fraction equivalents. You can use fractions to estimate the percent of a number by choosing a fraction that is close to a given percent. 10% 20% 25% 50% 1 4 1 5 1 3 2 3 1 2

2. Remember! Compatible numbers are close to the numbers in the problem and help you use mental math to find a solution. Additional Example 1: Using Fractions to Estimate Percents Use a fraction to estimate 27% of 63. Think: 27% is about 25% and 25% is equivalent to . 1 4 · 63 27% of 63  1 4 1 4 Change 63 to a compatible number. · 60  Multiply.  15 27% of 63 is about 15.

3. Check It Out: Example 1 Use a fraction to estimate 48% of 91. Think: 48% is about 50% and 50% is equivalent to . 1 2 · 91 48% of 91  1 2 1 2 Change 91 to a compatible number. · 90  Multiply.  45 48% of 91 is about 45.

4. Another way to estimate percents is to find 1% or 10% of a number. You can do this by moving the decimal point in the number. . 1% of 45 = . 45 10% of 45 = 45 . . To find 1% of a number, move the decimal point two places to the left. To find 10% of a number, move the decimal point one place to the left.

5. Additional Example 3A: Estimating with Simple Percents Use 1% or 10% to estimate the percent of each number. 4% of 18 18 is about 20, so find 4% of 20. 1% of 20 = 20. . 4% of 20 = 4 · 0.2 = 0.8 4% equals 4 · 1%. 4% of 18 is about 0.8.

6. Additional Example 3B: Estimating with Simple Percents Use 1% or 10% to estimate the percent of each number. 29% of 80 29% is about 30, so find 30% of 80. 10% of 80 = 80. . 30% of 80 = 3 · 8.0 = 24.0 30% equals 3 · 10%. 29% of 80 is about 24.

7. Additional Example 2: Consumer Math Application Tara’s T’s is offering 2 T-shirts for $16, while Good-T’s is running their buy one for $9.99, get one for half price sale. Which store offers the better deal? First find the discount price for 2 t-shirts at Good T’s. 1 2 1 2 · $9.99 50% of $9.99 = Think: 50% is equivalent to . 1 2 Change $9.99 to a compatible number. · $10   $5 Multiply. The second shirt cost approximately $5. Since $10 + $5 = $15, the 2 T-shirts for $15 at Good-T’s is the better deal.

8. Check It Out: Example 2 Billy’s Office Supply Store is offering 25% off a leather notebook, originally priced at $9.75. K’s Office Supply Store offers the same notebook, not on sale, at $7.00. Which store offers the better deal? First find the discount on the notebook at Billy’s Office Supply. 1 4 1 4 25% of $9.75 = · $9.75 Think: 25% is equivalent to . 1 4 Change $9.75 to a compatible number. · $10   $2.50 Multiply. The discount is approximately $2.50. Since $10 - $2.50 = $7.50, the notebook from K’s Office Supply Store is the better deal.

9. Check It Out: Example 3A Use 1% or 10% to estimate the percent of each number. 5% of 14 14 is about 15, so find 5% of 15. 1% of 15 = 15. . 5% of 15 = 5 · 0.15 = 0.75 5% equals 5 · 1%. 5% of 14 is about 0.75.

10. Check It Out: Example 3B Use 1% or 10% to estimate the percent of each number. 21% of 60 21% is about 20, so find 20% of 60. 10% of 60 = 60. . 20% of 60 = 2 · 6.0 = 12.0 20% equals 2 · 10%. 21% of 60 is about 12.

11. 1 2 5% is of 10% so divide $6 by 2. Additional Example 4: Consumer Math Application Tim spent $58 on dinner for his family. About how much money should he leave for a 15% tip? Since $58 is about $60, find 15% of $60. Think: 15% is 10% + 5%. 15% = 10% + 5% 10% of $60 = $6 5% of $60 = $6 ÷ 2 = $3 $6 + $3 = $9 Add the 10% and 5% estimates. Tim should leave about $9 for a 15% tip.

12. 1 2 5% is of 10% so divide $1 by 2. Check It Out: Example 4 Amanda spent $12 on a hair cut. About how much money should she leave for a 15% tip? Since $12 is about $10, find 15% of $10. Think: 15% is 10% + 5%. 15% = 10% + 5% 10% of $10 = $1 5% of $10 = $1 ÷ 2 = $0.50 $1 + $0.50 = $1.50 Add the 10% and 5% estimates. Amanda should leave about $1.50 for a 15% tip.

13. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

14. Lesson Quiz 1. Use a fraction to estimate 48% of 72. 2. A café is offering 10% off the $4.99 lunch. If a diner is offering the same lunch for $4.59, which is offering the better deal? Use 1% or 10% to estimate the percent of each number. 3. 4% of 220 4. 19% of 75 5. Mr. and Mrs. Dargen spend $46.25 on a meal. About how much should they leave for a 15% tip? 36 The café Possible answers: 8.8 15 $7

15. Lesson Quiz for Student Response Systems 1. Use a fraction to estimate 52% of 84. A. 30 B. 40 C. 50 D. 60

16. Lesson Quiz for Student Response Systems 2. During the annual sale, Brand A offers 20% off on a $6.55 shirt. Which of the following will make Brand B a better deal? A. Brand B sells the same shirt for $4.89. B. Brand B sells the same shirt for $5.59. C. Brand B sells the same shirt for $5.89. D. Brand B sells the same shirt for $6.29.

17. Lesson Quiz for Student Response Systems 3. Use 1% or 10% to estimate 6% of 239. A. 2.4 B. 14.4 C. 16.6 D. 24

18. Lesson Quiz for Student Response Systems 4. Use 1% or 10% to estimate 18% of 88. A. 8.8 B. 14 C. 18 D. 22

19. Lesson Quiz for Student Response Systems 5. Patricia bought accessories worth $52.75 in an online store. About how much would she spend for a 13% shipping charge? A. $5 B. $7 C. $9 D. $13