Lowpoint-Washburn Public School District 21    508 East Walnut Street    Washburn, IL  61570  Phone: 309.248.7522  Fax: 309.248.7518

Dividing Fractions

Example: 9/21 divided by 1/7

Step 1. Rewrite the problem as a multiplication problem. 9/21 x1/7

Step 2. Find the reciprocal,(flip the fraction upside down) for your divisor(second number in the problem), so 9/21 x 1/7 will become 9/21 x 7/1.

Step 3.  Cancel like factors.  21 and 7 can both be divided by 7, so the problem becomes 9/3 x 1/1.

Step 4.  Multiply the numerators.  9 x 1 = 9.

Step 5.  Multiply the denominators. 3 x 1 = 3.

Step 6.  Write your new fraction 9/3.

Step 7.  Reduce 9/3 =3/1=3. So 9/21 divided by 1/7 =3.

 

 

Example: 8/24 divided by 5/6

Step 1. Rewrite the problem as a multiplication problem. 8/24 x 5/6

Step 2. Find the reciprocal,(flip the fraction upside down) for your divisor(second number in the problem), so 8/24 x 5/6 will become 8/24 x 6/5.

Step 3.  Cancel like factors.  24 and 6 can both be divided by 6, so the problem becomes 8/4 x 1/5.

Step 4.  Multiply the numerators.  8 x 1 = 8.

Step 5.  Multiply the denominators. 4 x 5 = 20.

Step 6.  Write your new fraction 8/20.

Step 7.  Reduce 8/20 can both be divided by 4 so it becomes 2/5. So 8/24 divided by 5/6 =2/5.