1. Mixed Numbers and Improper Fractions

2. Mixed Numbers and Improper Fractions
Definitions:
Proper Fraction – Is a fraction in which its numerator is less than its denominator, meaning its value is less than 1. For example, and are proper fractions.
Improper Fraction – Is a fraction in which its numerator is greater than or equal to its denominator, meaning its value is greater than or equal to 1. For example, and are improper fractions.

3. Mixed Numbers and Improper Fractions
Writing Improper Fractions as Mixed Numbers
Example 1: Write as a mixed number.
Strategy:
Divide the numerator by the denominator.
Write the remainder as the numerator and the divisor as the denominator.
Original fraction
Divide 13 by 10 and write the remainder as the numerator of a fraction.
Final answer

4. Mixed Numbers and Improper Fractions
Write the following improper fractions as mixed numbers.
1.) 2.) 3.)

5. Mixed Numbers and Improper Fractions
Writing Mixed Numbers and Improper Fractions
Example 1: Write as an improper fraction.
Strategy:
Multiply the denominator by the whole number. Then, add the numerator.
Write your answer as the numerator and keep the same denominator.
Original fraction
Multiply 3 and 4, then add 2.
Final answer

6. Mixed Numbers and Improper Fractions
Write the following mixed numbers as improper fractions.
1.) 2.) 3.)

7. Mixed Numbers and Improper Fractions
Fill in the blanks.
1.) ) )
4.) ) 6.)

8. Mixed Numbers and Improper Fractions
Real Life Application
The longest total solar eclipse in the next 200 years will take place in It will last about minutes. Write as a mixed number.