1. ALGEBRA READINESS LESSON 7-1 Warm Up Lesson 7-1 Warm-Up

2. ALGEBRA READINESS LESSON 7-1 Warm Up Lesson 7-1 Warm-Up

3. ALGEBRA READINESS “Fractions, Decimals, and Percents” (7-1) (7-1) What is “percent”? How do you write a percent as a fraction? Percent: a ratio that compares a number to 100 To write a percent as a fraction, make the numerator the percent and the denominator 100 (“out of 100”). Then, simplify the fraction. Example:The following model shows 41 out of 100 squares shaded, or 41% of the big square shaded.

4. ALGEBRA READINESS 4% = Write the percent as a fraction with a denominator of 100. Write 4% as a fraction in simplest form. = Write the fraction in simplest form. Fractions, Decimals, and Percents LESSON 7-1 Additional Examples 1 25 4 100 4444 4 100  =

5. ALGEBRA READINESS “Fractions, Decimals, and Percents” (7-1) (7-1) How do you write a fraction as a percent? To write a fraction as a percent, find an equal fraction with a denominator of 100 (if the denominator is 100, the numerator will always be the percent, since percent means “out of 100”) or make a proportion and use cross products. Example:According to the school cafeteria, 6 out of 25 students bring their lunch to school. What percent of the students bring their lunches to school? Method 1: Proportion #% Known (Part)6 p Unknown (Whole)25 100 = Proportion. 6 25 p 100 25 p = 6 100 Cross products are equal. 25p = 600 Simplify. = Divide both sides by 25.. 25x 25 600 25 x = 24 Simplify. 24% of the students bring their lunches.. 1 1 24 1

6. ALGEBRA READINESS “Fractions, Decimals, and Percents” (7-1) (7-1) How do you write a fraction as a percent? Method 2: Equal Fractions = Write an equal fraction with a denominator of 100 (since percents have 100 in the denominator. 6 25 p 100 = Multiply the numerator by the same number that you multiply the denominator by to find the equivalent fraction with a denominator of 100. 6 25 24 100 44 44 24% of the students bring their lunches..

7. ALGEBRA READINESS Write as a percent. 7 20 Since percent is out of 100, find the fraction with denominator of 100 that is equal to. 7 20 35 100 55 55 7 20 7 20 Write a proportion. Percents have in the denominator. p 100 p35% Fractions, Decimals, and Percents LESSON 7-1 Additional Examples = = =

8. ALGEBRA READINESS “Fractions, Decimals, and Percents” (7-1) (7-1) How do you write a decimal as a percent? To write a decimal as a fraction, write the decimal as a fraction and change the fraction into a percent using proportions or equal fractions or move the decimal two places to the right. Method 1: Change the decimal to a fraction Example: Write 0.076 as a percent. Method 2: Move the decimal 2 places to the right. 0.076 = Write the decimal as a fraction the way you read it. 76 1000 0.076 = 7.6% = Divide the numerator by the same number that you divide the denominator by to find the equivalent fraction with a denominator of 100. 76 1000 7.6 100  10 0. 0 7 6 Jump the decimal two places to the right. = 7. 6 %

9. ALGEBRA READINESS Write each decimal as a percent. a. 0.16 b. 0.03 0.16 = 16 100 Write the decimal as a fraction that reads the same way. = 16%Since percent is out of 100, 16 is the percent. 0.03 = 3 100 Write the decimal as a fraction that reads the same way. = 3% Write as a percent. Fractions, Decimals, and Percents LESSON 7-1 Additional Examples

10. ALGEBRA READINESS Write each percent as a decimal and as a fraction in simplest form. 1.60%2.38% Write each decimal or fraction as a percent. 3.0.054. 3 20 5%15% 0.60; 3535 0.38; 19 50 Fractions, Decimals, and Percents LESSON 7-1 Lesson Quiz