1. Mixed Numbers
and
Improper Fractions

2. Mixed Number- a number that names a whole number and a fraction.3 1 3 1 1 2 3

3. Mixed Number- a number that names a whole number and a fraction.4 1 4 1 4 1 2 3 4

4. Mixed Number- a number that names a whole number and a fraction.7 1 7 1 7 1 1 3 7

5. Mixed Number- a number that names a whole number and a fraction.9 1 9 1 9 1 9 1 2 4 9

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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