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Fractions, Decimals and Percents

Fractions, Decimals and Percents. Keep up the great work! . Fraction. The number of ______ of a _________. Example: ¾ = (three parts out of 4). Decimal. A number expressed using units of _______. Percent. Parts per ______ , or written in terms of ______. Equivalent Forms.

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Fractions, Decimals and Percents

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  1. Fractions, Decimals and Percents Keep up the great work! 

  2. Fraction The number of ______ of a _________. Example: ¾ = (three parts out of 4)

  3. Decimal • A number expressed using units of _______.

  4. Percent • Parts per ______, or written in terms of ______.

  5. Equivalent Forms

  6. Conversions

  7. Decimal to Percent • Move the decimal two places to the right. (Multiply by 100) 0.45 = = 45% 0.1 = = 10% 0.05 = = 5%

  8. Let’s Practice • Change 0.128 into a percent. A) 128% C) 1.28% B ) 12.8% D) 0.128%

  9. One More • Change 0.8 into a percent. A) 800% C) 80% B ) 0.8% D) 8%

  10. Percent to Decimal • Move the decimal two places to the left. (Divide by 100) 32% = = 0.32 7% = = 0.07 20% = = 0.2

  11. Let’s Practice • Change 60% into a decimal. A) 60 C) 0.06 B ) 6.0 D) 0.6

  12. Another • Change 15.5% into a decimal. A) 0.155 C) 15.5 B ) 1.55 D) 155

  13. Fraction to Decimal • Divide the numerator by the denominator • ¾ = 3 divided by 4 = 0.75 • REMEMBER: Knock over the fraction and divide! 

  14. Another Example • Change the following fractions to decimals. 1/5 = 0.2 2/3 = 0.666

  15. Let’s Practice • Change 3/5 into a decimal. A) 3.5 C) 35.0 B ) 6.0 D) 0.6

  16. One More • Change 1/8 into a decimal. A) 125 C) 0.18 B ) 1.8 D) 0.125

  17. Fraction to Percent • Divide the numerator by the denominator and change the decimal to a percent. ¾ = 3 divided by 4 = 0.75 x 100 = 75%

  18. Another Example • Change the following fractions to percents. 4/9 = 44.4% 3/8 = 37.5%

  19. Let’s Practice • Change 2/5 into a percent. A) 2.5% C) 0.40% B ) 40% D) 25%

  20. One More • Change 1/8 into a percent. A) 12.5% C) 18% B ) 125% D) 1.8%

  21. Homework

  22. Percent to Fraction • Step 1: Write the percent over 100. • Step 2: Simplify.

  23. Example • Change 35% into a fraction in simplest form.

  24. Let’s Practice • Change 42% into a fraction in simplest form. • 42/50 • 4/2 • 1/42 • 21/50

  25. One More • Change 10% into a fraction in simplest form. • 1/10 • 1/5 • 10/1 • 5/50

  26. Decimal to Fraction • Step 1: Write your decimal over the number 1 (as a fraction) • Step 2: Count how many numbers are after the decimal • Step 3: Add that many zeros after the number 1. • Step 4: Multiply the numerator and denominator by your new number (multiple of 10). • Step 5: Simplify.

  27. Let’s Try • Change 0.12 into a fraction.

  28. Example • Change 0.625 into a fraction in simplest form.

  29. Another Example • Change 5.6 into a fraction in simplest form.

  30. Let’s Practice • Change 0.54 into a fraction in simplest form. • 27/50 • 54/1 • 1/54 • 54/100

  31. One More • Change 0.375 into a fraction in simplest form. • 375/1000 • 3/8 • 1/375 • 2/9

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