Definitions
Dividing Whole #s by Fractions
Dividing fractions by Whole #s
Word Problems
100

A fraction that is greater than one. The numerator is bigger than the denominator. 

Example: 13/2

Improper Fraction 

100

3 ÷ 1/6

18

100

1/5 ÷ 5

1/25

100

You have a rope that is 5m long. It is cut into pieces that are 1/3m long. How many pieces are cut?

15 pieces

200

Opposite operations. E.g. addition and subtraction

Inverse Operations

200

4 ÷ 1/2

200

1/2 ÷ 2

1/4

200

You have 3 donuts. Each is cut into fourths. How many pieces do you have?

12 pieces

300

A whole number plus a fraction.

Example: 1 1/4

Mixed Number

300

6 ÷ 1/5

30

300

1/4 ÷ 5

1/20

300

2 friends share 1/2 a pizza. What fraction of a whole pizza does each friend get? 

1/4

400

A fraction that is less than one. The numerator is smaller than the denominator.

Example: 2/5

Proper Fraction 

400

9 ÷ 1/2

18

400

2/3 ÷ 4

2/12 = 1/6

400

Is the quotient greater than or less than the dividend when you divide a whole number by a fraction?

Greater than.

500

The ___________ is the number, not included the reminder, that results from dividing

Quotient

500

3 ÷ 2/3 

9/2 = 4 1/2

500

9/17 ÷ 3

9/51 = 3/17

500

John has 3m of string and Mary has 4m of string. They cut the string into pieces that are 1/4m long. How many pieces do they have?

28