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Understanding Percents: From Fractions to Decimals

This educational guide explores the concept of percents, how to convert them into fractions and decimals, and vice versa. Learn the definition of a percent as a ratio of a number to 100, and see practical examples explaining how to write percentages in simplest form. This resource also provides exercises to practice converting between fractions, decimals, and percents, helping you grasp these mathematical concepts easily. Whether you are a student or just looking to refresh your knowledge, this guide is a valuable tool for mastering percents.

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Understanding Percents: From Fractions to Decimals

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  1. Fractions, Decimals and Percents

  2. What is a percent??? • Percent : A ratio of a number to 100. The symbol % is used to indicate that a number is a percent . • Example : 40% is the ratio 40 to 100, or 40 100 • Percents can be written as fractions or decimals

  3. Writing Percents as Fractions • Write 35% as a fraction in simplest form. • 35% = 35 100 = 7 20 • Write the percent as a fraction with a denominator of 100 • Simplify

  4. Writing Percents as Fractions • Write 88% as a fraction • 88% = 88 100 = 22 25 • Write the percent as a fraction with a denominator of 100 • Simplify

  5. Your Turn… • Write 2% as a fraction

  6. Your Turn • Write 45% as a fraction

  7. Writing Percents as Decimals • Write 43% as a decimal. • 43% = 43 100 • = 0.43 • 43% = 43. = 0.43 • Write the percent as a fraction with a denominator of 100. • Write the fraction as a decimal • All you have to do is move the decimal to the LEFT 2 times!

  8. Writing Percents as Decimals • Write 105% as a decimal. • 105% = 105 100 • = 1.05 • 105% = 105. = 1.05 • Write the percent as a fraction with a denominator of 100. • Write the fraction as a decimal • All you have to do is move the decimal to the LEFT 2 times!

  9. Your Turn… • Write 16% as a decimal

  10. Your Turn… • Write 104% as a decimal

  11. Writing Decimals as Percents • Write 0.07 as a percent. • 0.07 = 7 100 • = 7% • 0.07 = 0.07 = 7% • Write the decimal as a fraction • Write the fraction as a percent • All you have to do is move the decimal to the RIGHT 2 times!

  12. Writing Decimals as Percents • Write 0.038 as a percent. • 0.038 = 0.038 1000 • = 3.8% • 0.038 = 0.038 = 3.8% • Write the decimal as a fraction • Write the fraction as a percent • All you have to do is move the decimal to the RIGHT 2 times!

  13. Your Turn • Write 0.57 as a percent

  14. Your Turn • Write 0.2 as a percent

  15. Writing Fractions as Percents • Write 4 as a percent 5 • 4 = 4 • 20 5 5 • 20 • = 80 100 • = 80% • Write an equivalent fraction with a denominator of 100. • Write the fraction as a percent

  16. Writing Fractions as Percents • Write 3as a percent 8 • 3= 3 ÷ 8 8 • = 0.375 • = 37.5% • Use division to write the fraction • Write the decimal as a percent

  17. Your Turn… • Write 3 as a fraction 10

  18. Your Turn… • Write 11 as a fraction 40

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