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Mixed Numbers and Improper Fractions

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**Mixed Number- a number that names a whole number and a fraction.**

3 1 3 1 1 2 3

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**Mixed Number- a number that names a whole number and a fraction.**

4 1 4 1 4 1 2 3 4

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**Mixed Number- a number that names a whole number and a fraction.**

7 1 7 1 7 1 1 3 7

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**Mixed Number- a number that names a whole number and a fraction.**

9 1 9 1 9 1 9 1 2 4 9

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**1 Improper Fraction = 2 5 3 3 3 1 3 1 3 1 1 Whole 3 1 3 1**

A mixed number can also be represented as an improper fraction. 3 1 3 1 3 1 1 Whole 3 1 3 1 1 2 3 5 How many pieces are there? = 3 How many pieces make 1 whole? An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

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Improper Fraction A mixed number can also be represented as an improper fraction. 1 Whole 5 1 5 1 1 Whole 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 How many pieces are there? 2 1 5 11 = How many pieces make 1 whole? 5 An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

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**2 Improper Fraction = 4 34 15 15 1 Whole 1 Whole**

A mixed number can also be represented as an improper fraction. 15 1 1 Whole 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 1 Whole 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 How many pieces are there? 2 4 15 34 = How many pieces make 1 whole? 15 An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

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**1 Improper Fraction = 12 12 1 Whole 12 1 12 1 12 1 12 1 12 1 12 1 12 1**

A mixed number can also be represented as an improper fraction. 1 Whole 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 12 1 How many pieces are there? 1 12 = How many pieces make 1 whole? 12 An improper fraction is a fraction with a numerator that is greater than or equal to the denominator.

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**Mixed Number to Improper Fraction**

Step 1: Multiply the denominator and the whole number. Mixed Number to Improper Fraction Mixed Number Improper Fraction + 10 × 1 = 10 Step 2: Add the product and the numerator. 1 7 10 = 17 17 = 10 × Step 3: The sum becomes the numerator. 1 Whole 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 Step 4: The denominator remains the same.

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**Mixed Number to Improper Fraction**

Step 1: Multiply the denominator and the whole number. Mixed Number to Improper Fraction Mixed Number Improper Fraction + 8 × 2 = 16 Step 2: Add the product and the numerator. 2 5 8 = 21 21 = 8 × 8 1 8 1 8 1 8 1 1 Whole 8 1 8 1 8 1 8 1 Step 3: The sum becomes the numerator. 8 1 8 1 1 Whole 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 Step 4: The denominator remains the same.

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**Improper Fraction to Mixed Number**

Step 1: Divide the numerator by the denominator Improper Fraction to Mixed Number Improper Fraction Mixed Number 10 ÷ 6 = 1 R4 4 1 10 6 Step 2: The quotient becomes the whole number. ÷ = 6 1 Whole 6 1 6 1 6 1 Step 3: The remainder becomes the numerator. 6 1 6 1 6 1 6 1 6 1 6 1 6 1 Step 4: The denominator remains the same.

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**Improper Fraction to Mixed Number**

Step 1: Divide the numerator by the denominator Improper Fraction to Mixed Number Improper Fraction Mixed Number 25 ÷ 7 = 3 R4 4 3 25 7 = Step 2: The quotient becomes the whole number. ÷ 7 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 Whole Step 3: The remainder becomes the numerator. 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 Whole 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 Whole Step 4: The denominator remains the same. 7 1 7 1 7 1 7 1

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