Do Now Choose the best unit price. To receive credit you must show that you have worked out both prices. A 32-oz. bottle of apple juice for $2.50 or A 48 oz bottle of apple juice for $3.48.

Fractions, Decimals, and Percents Chapter 7 Lesson 5 Fractions, Decimals, and Percents Objective: Write percents as fractions and vice versa

The graph shows the results of a survey in which teens were asked to name the most important invention of the 20th century. 1. What percent of the teens said that the personal computer was the most important invention? Percent of Teens 32% 2. How is this percent written as a ratio? 32 100 32:100 or 3. Simplify the ratio. 8 25

Put the percent over 100 then simplify Recall How do you write a percent as a fraction? Put the percent over 100 then simplify

Example 8 25 32 100 32% = =

To change percents with decimals into fractions in simplest form Write the percent as a fraction with a denominator of 100. To eliminate the decimal point add the amount of zeroes there are decimal places. 3. Simplify.

Percents with decimals to fractions Examples. 1. 16.8% 2. 16.8 100 168 1000 21 25

Write each percent as a fraction in simplest form. 6.2% 28.75% 28.75 100 2875 10,000 23 80 6.2 100 62 1000 31 500

To change percents with mixed numbers into fractions in simplest form Change the mixed number into an improper fraction Divide by 100 (you have to multiply by the reciprocal when dividing fractions) Cross cancel and simplify

Percents with mixed numbers to fractions 8 ⅓ % 25 3 25 3 100 ÷ 25 1 3 100 X 1 12

You try it! 81 ¼% 325 4 325 X 1 4 100 13 16 78 ¾% 315 4 315 X 1 4 100 63 80

To write a fraction as a percent Create a proportion

Write each fraction as a percent Write each fraction as a percent. Round to the nearest hundredth if necessary. 4 15 7 8 4 n 15 100 = 7 n 8 100 = 26.67% 87.5%

Write each percent as a fraction in simplest form. 13.5% 27 200 18.75% 3 16 3. 66 2/3% 2/3 57 ½% 23/40