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Mixed Numbers and Improper Fractions!

Mixed Numbers and Improper Fractions!. By: Jessica Nastasi. What is a Mixed Number? Name Wholes and Parts of Wholes. 3 4. 1. PART OF A WHOLE. WHOLE. When we change to improper fractions , we want to find out how many parts make up the whole number . . 3 4. 1.

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Mixed Numbers and Improper Fractions!

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  1. Mixed Numbers and Improper Fractions! By: Jessica Nastasi

  2. What is a Mixed Number?Name Wholes and Parts of Wholes 3 4 1 PART OF A WHOLE WHOLE

  3. When we change to improper fractions, we want to find out how many parts make up the whole number. 3 4 1 We will add you in later. How many fourthsare in here?

  4. What is an Improper Fraction?A fraction where the numerator is greater than the denominatorIt is like a mixed number because its value is greater than a whole.

  5. For example, 14 4

  6. 1: Mixed Numbers Improper Fractions

  7. Step 1: Multiply the WHOLE number by the denominator 3 4 1 x What is the product? 4

  8. Wait! Let’s Think About WHY We Do This! We are changing the whole to see how many quarters make up a whole. To do this, we multiply. There are 4 quarters in one whole (1 x 4 = 4) One whole = 4 fourths

  9. Step 2: Add the numerator + 3 4 1 x What is the total? 7

  10. Wait! Let’s Think About WHY We Do This! Because, we add the parts that we have. + 4 fourths (1 whole) 3 fourths = how many fourths in all? 7 4

  11. Step 3: Keep the original denominator the same. + 7 4 3 4 = 1 x And you’re done!

  12. Improper Fractions  Mixed Numbers

  13. Step 1: Divide the numerator by the denominator. Think: “How many times can the denominator go into the numerator?” 14 4 = 3

  14. Think of pictures…How many wholes can you make with 14 quarters?

  15. Step 2: Find the remainder. How many parts are left over? This is your numerator. 14 4 = 2 3

  16. Think of pictures…How many quarters are left over when you make 3 wholes?

  17. Step 3: Keep the denominator the same. 14 4 = 2 3 4

  18. Step 4: Reduce if needed. 2 = 3 3 1 4 2

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