Dividing Fractions (3 – Column Method)
When dividing fractions, invert the second fraction and use the same rules for multiplication.
Examples
EXAMPLE 1:
3
3
÷
= ?
9
11
EXAMPLE 2:
7
1
÷ 1 = ?
10
2
EXAMPLE 3:
1
1 ÷ 18
2
De Etta Ryan, Instructor/Developer
Definitions
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
Set Up & Solve
1)
2)
3)
Make 1 ½ an improper fraction of 3/2
Change the division sign to multiplication
Invert the second fraction
5)
6)
3 ÷ 3 = 3 x 9 = 31 x 9 = 9 ;
11 9
11 3
11
31 11
Cancel out the numerator 3 with the denominator
9 by the common factor 3.
Then multiply the numerators and denominators.
You get 9/11.
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
7)
8)
9)
Make 1 ½ an improper fraction of 3/2
Change the division sign to multiplication
Invert the second fraction
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
13) Make 1 ½ an improper fraction of 3/2 and 18,
18/1
14) Change the division sign to multiplication
15) Invert the second fraction
ABE 3 Math - Fractions
3.3.0 – 3.3.6
4)
7÷1½= 7 ÷ 3 = 7 x 2
10
10
2 5 10
3
1
= 7x1 = 7;
5x3
15
10) Cancel out the numerator 2 with the denominator
10 by the common factor 2.
11) Then multiply the numerators and denominators.
12) You get 7/15
3 ÷ 18 = 3 ÷
2
1
2
18 =
1
3 x 1 = 1x1 = 1;
2
186
2 x 6 12
1
16) Cancel out the numerator 3 with the denominator
18 by the common factor 3.
17) Then multiply the numerators and denominators.
18) You get 1/12.
Page 1
1)
16
7
÷
= ?
21
8
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
Work Space
=
Work Space
2)
9
5
÷ 2
= ?
44
11
Work Space
3)
3
4
1
÷ 8 = ?
7
3
Work Space
4)
11
÷ 33 = ?
12
Work Space
5)
2
2
1
÷ 3 = ?
9
3
De Etta Ryan, Instructor/Developer
ABE 3 Math - Fractions
3.3.0 – 3.3.6
Page 2
6)
5
7
÷ 1
= ?
12
18
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
Work Space
Work Space
7)
2
2
9
÷
= ?
3
16
Work Space
8)
3
1
13
÷
= ?
4
15
Work Space
6¼
9)
20 ÷ 3
1
= ?
5
Work Space
10)
12
14
1
÷
= ?
20
4
De Etta Ryan, Instructor/Developer
ABE 3 Math - Fractions
3.3.0 – 3.3.6
Page 3
11)
3÷ 1
5
= ?
7
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
Work Space:
Work Space
12)
19 ÷ 10
2
= ?
5
Work Space
13)
1
3
÷ 14 = ?
7
Work Space
14)
4
2
4
÷ 10 = ?
5
5
Work Space
15)
8÷ 1
De Etta Ryan, Instructor/Developer
1
= ?
8
ABE 3 Math - Fractions
3.3.0 – 3.3.6
Page 4
16)
2
1
÷ 8 = ?
2
9
To Divide Fractions:
 First convert all whole numbers and mix number to
improper fractions
 Then change the division sign to a multiplication sign
 Next invert (flip) the second fraction in the problem
 Use cancellation if you can
 Next Multiply the numerators of the fractions
 Multiply the denominators of the fractions
 Place the product of the numerators over the product of
the denominators
 Simplify the fraction if necessary
Work Space
Work Space
17)
1
1
1
÷ 2 = ?
2
4
Work Space
18)
62 ÷
5
= ?
6
Work Space
19)
9
2
2
÷ 4 = ?
7
7
Work Space
20)
20
1
1
÷
= ?
2
8
De Etta Ryan, Instructor/Developer
ABE 3 Math - Fractions
3.3.0 – 3.3.6
Page 5
Activity 1:
Division of Fractions Review
Go to the internet. Type this website in the address bar: www.thatquiz.com to take the lesson review.
Use this class test code: QZJS0730. If you score less than 80% on the quiz, try it again and use
LJGX7302.
Activity 3: Math Lab – Dividing Fractions
Go to the internet. Type this website in the address bar: www.mrnussbaum.com/fracdivw.htm
Scroll down. Click the drop down arrow. Find the correct answer and click it.
Click check to check your answers. Record your score here:
.
Activity 3: Do the next lesson in Basic Skills Interactive.
De Etta Ryan, Instructor/Developer
ABE 3 Math - Fractions
3.3.0 – 3.3.6
Page 6