1. Divide Mixed Numbers by Fractions
Honors Math – Grade 5

2. Problem of the Day Division! Let’s take a closer look…
Carol has pounds of mixed nuts. How many pound bags can she fill?
What are the important facts?
What operation does this word problem suggest?
Division! Let’s take a closer look…

3. 2 1 2 ÷ 1 4 5 1 3 ÷ 3 5 To divide a mixed number by a fraction…
Rename the mixed number as an improper fraction.
Multiply by the reciprocal of the divisor.
Cancel; Multiply numerators, denominators; Simplify.
5 1 3 ÷ 3 5
Rename the mixed number as an improper fraction.
Multiply by the reciprocal of the divisor.
Cancel; Multiply numerators, denominators; Simplify.

4. 1 1 2 ÷ 9 10 1 1 4 ÷ 3 8 To divide a mixed number by a fraction…
Rename the mixed number as an improper fraction.
Multiply by the reciprocal of the divisor.
Cancel; Multiply numerators, denominators; Simplify.
1 1 4 ÷ 3 8
Rename the mixed number as an improper fraction.
Multiply by the reciprocal of the divisor.
Cancel; Multiply numerators, denominators; Simplify.

5. Divide.
2 1 5 ÷ 3 4
2 1 2 ÷ 5 6
÷ 5 12
6 7 8 ÷ 5 8

6. Divide.
3 1 7 ÷ 2 7
3 1 5 ÷ 4 15
7 1 2 ÷ 5 6
4 4 5 ÷ 4 15

7. Divide.
2 1 4 ÷ 9 10
2 8 9 ÷ 2 3