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Writing Decimals as Fractions: Convert Decimals to Fractions in Simplest Form

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Learn how to convert decimals to fractions in their simplest form. Practice converting decimals like 0.8 and 0.36 to fractions.

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Writing Decimals as Fractions: Convert Decimals to Fractions in Simplest Form

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  1. EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form.

  2. EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. a.0.8 =

  3. EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. a.0.8 = Write eight tenths as a fraction. Simplify.

  4. 8 10 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. a.0.8 = = Write eight tenths as a fraction. Simplify.

  5. 8 10 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 4 a.0.8 = = Write eight tenths as a fraction. Simplify. 5

  6. 8 10 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 4 a.0.8 = = Write eight tenths as a fraction. Simplify. 5 b.0.36 =

  7. 8 10 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 4 a.0.8 = = Write eight tenths as a fraction. Simplify. 5 b.0.36 = Write thirty-six hundredths as a fraction. Simplify.

  8. 8 10 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 4 a.0.8 = = Write eight tenths as a fraction. Simplify. 5 36 b.0.36 = Write thirty-six hundredths as a fraction. = 100 Simplify.

  9. 8 10 EXAMPLE 1 Writing Decimals as Fractions Write the decimal as a fraction in simplest form. 4 a.0.8 = = Write eight tenths as a fraction. Simplify. 5 9 36 b.0.36 = Write thirty-six hundredths as a fraction. = 100 25 Simplify.

  10. EXAMPLE 2 Writing Decimals as Mixed Numbers Planets The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form.

  11. EXAMPLE 2 Writing Decimals as Mixed Numbers Planets The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form. a. Length of day on Saturn: 10.5hours

  12. EXAMPLE 2 Writing Decimals as Mixed Numbers Planets The length of a planet’s day is the time it takes the planet to rotate once about its axis. Write each length as a mixed number in simplest form. a. Length of day on Saturn: 10.5hours b. Length of day on Jupiter: 9.92 hours

  13. EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION a. 10.5 = Write ten and five tenths as a mixed number.

  14. EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10

  15. EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2

  16. EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2

  17. EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 Write nine and ninety-two hundredths as a 9.92 = b. mixed number.

  18. 92 100 EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 9.92 = 9 b. Write nine and ninety-two hundredths as a mixed number.

  19. 92 100 EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 9.92 = 9 b. Write nine and ninety-two hundredths as a mixed number. Simplify.

  20. 92 100 EXAMPLE 2 Writing Decimals as Mixed Numbers SOLUTION 5 a. 10.5 = 10 Write ten and five tenths as a mixed number. 10 1 = 10 Simplify. 2 ANSWER 1 The length of a day on Saturn is 10 hours. 2 9.92 = 9 b. Write nine and ninety-two hundredths as a mixed number. 23 Simplify. = 9 25

  21. EXAMPLE 2 Writing Decimals as Mixed Numbers ANSWER 23 9 The length of a day on Jupiter is hours. 25 EXAMPLE 2

  22. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form.

  23. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 2.04 a.

  24. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. a. 2.04 Write two and four hundredths as a mixed number.

  25. EXAMPLE 3 Decimals with Zeros Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100

  26. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100

  27. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100 1 = 2 25

  28. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100 1 = 2 25 b. 4.005

  29. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100 1 = 2 25 b. 4.005 Write four and five thousandths as a mixed number.

  30. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 2 a. Write two and four hundredths as a mixed number. 2.04 = 100 4 1 = 2 25 5 b. 4.005 = 4 Write four and five thousandths as a mixed number. 1000

  31. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100 1 = 2 25 5 4.005 = 4 Write four and five thousandths as a mixed number. b. 1000 Simplify.

  32. EXAMPLE 3 Decimals with Zeros Simplify. Write the decimal as a fraction or mixed number in simplest form. 4 2 a. Write two and four hundredths as a mixed number. 2.04 = 100 1 2 25 = 5 4.005 = Write four and five thousandths as a mixed number. b. 1000 1 = 4 Simplify. 200

  33. EXAMPLE 3 Decimals with Zeros c. 0.608

  34. EXAMPLE 3 Decimals with Zeros Write six hundred eight thousandths as a fraction c. 0.608

  35. EXAMPLE 3 Decimals with Zeros 608 Write six hundred eight thousandths as a c. 0.608 = 1000 fraction.

  36. EXAMPLE 3 Decimals with Zeros Simplify. 608 Write six hundred eight thousandths as a 0.608 = c. 1000 fraction.

  37. 76 125 EXAMPLE 3 Decimals with Zeros Simplify. 608 Write six hundred eight thousandths as a c. 0.608 = 1000 fraction. =

  38. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 1. 0.4

  39. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 1. 0.4 2 ANSWER 5

  40. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 1. 0.4 2 ANSWER 5 2. 0.18

  41. 9 50 for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 1. 0.4 2 ANSWER 5 2. 0.18 ANSWER

  42. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 3. 1.7

  43. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 3. 1.7 7 ANSWER 1 10

  44. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 3. 1.7 7 ANSWER 1 10 4. 1.82

  45. 41 50 for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 3. 1.7 7 ANSWER 1 10 4. 1.82 ANSWER 1

  46. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 0.03 5.

  47. 3 100 for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 0.03 5. ANSWER

  48. 3 100 for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 0.03 5. ANSWER 6. 2.005

  49. 3 1 100 200 for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 0.03 5. ANSWER 6. 2.005 ANSWER 2

  50. for Examples 1, 2, and 3 GUIDED PRACTICE Write the decimal as a fraction or mixed number in simplest form. 7. 1.025

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