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Converting Mixed Numbers and Improper Fractions Grade 5 Lesson

Learn to write fractions greater than 1, convert between types, solve division problems, explore math vocabulary, practice conversions in a fun and educational setting.

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Converting Mixed Numbers and Improper Fractions Grade 5 Lesson

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  1. 9.3 – Mixed Numbers and Improper Fractions Grade 5 – Fractions greater than 1 can be named using a whole number or an improper fraction.

  2. Set the Purpose • Today you will be learning how to write fractions that represent more than a whole. • In the previous lesson, you divided 2 muffins for 3 people. Can you divide 5 muffins for 3 people? What will happen?

  3. Pose the Problem • Three friends divide 4 snack bars equally. How much will each friend get? Draw the four boxes in your notebook. • What operation will you use?

  4. Math Vocabulary • An improper fraction is a fraction in which the numerator is equal to or greater than the denominator. • For ex: • A mixed number has a whole-number part and a fractional part. • For ex:

  5. In your notebook • Write down all the improper fractions you see: • 3 7 8 154 5 6 22 • 4 3 5 19 7 2 • 3 12 10 93 5 15 7

  6. In your notebook • Write down all the mixed numbers you see: • 4 9 1 ½ 2 ¾ 7 5 12 6 • ⅝ 4⅙ ⅚ • ⅛ 1 ⅘

  7. How are mixed numbers and improper fractions related? • Miss Suzanne has 20 pieces of construction paper. She uses them to cover the front of her big art boxes which needs 9 pieces of construction paper for each box. How many art boxes can she cover? • Art box

  8. How are mixed numbers and improper fractions related? • Miss Suzanne has 20 pieces of construction paper. She uses them to cover the front of her big art boxes which needs 9 pieces of construction paper for each box. How many art boxes can she cover? • Art box • So, 20 ÷ 9 = 20 or 9

  9. Day 2 –How Do I Convert Improper Fractions and Mixed Numbers? • On the last slide, we were able to convert the improper fraction: 20/9 and found out that it was 2 2/9 (mixed number). • So, how do we convert improper fractions to mixed numbers?

  10. Let’s Practice! – In your notebook • Convert the following improper fractions into mixed numbers! • 10 8 4 5 • 14 7 21 4 3 7

  11. Try On Your Own Now! In your notebook • Convert the following improper fractions into mixed numbers: • 3 9 52 7 4 • 4 7 3 7 • 2 14 16 1 3 5

  12. Now How Do I Convert Mixed Numbers to Improper Fractions? • Find the pattern: • 10 4 • 52 • 83

  13. Let’s Practice! In your notebook • Convert the following mixed numbers into improper fractions! 4⅙ 2⅚ 3¾ 1¼ 5⅔

  14. Now Try on your Own – in your notebook • Convert the following mixed numbers into improper fractions: • 2 ⅜ 3 ⅖ 2 ¼ 3 ½ 5 ⅘ • 6 ⅕ 3⅞

  15. Extra Practice

  16. Homework • Pg. 226 (#1 – 18)

  17. Extra Practice

  18. Extra Practice

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