Dividing Fractions
Follow these steps for dividing fractions or Mixed Numbers:
| Dividing whole numbers by fractions: | Dividing fractions by fractions: |
|
Example: 24 divided by 2/3
Step 1: Change the whole number to
a 24 = 24/1
|
Example: 1/5 divided 2 1/2
Step 1: Change the mixed number to
an 2 1/2 = 5/2 |
|
Step 2: Take the reciprocal of the
number Change 2/3 to 3/2 and Multiply 24/1 * 3/2
|
Step 2: Take the reciprocal of
the number you are dividing by. (Always the fraction to the right) and change the sign to MULTIPLICATION. Change 5/2 to 2/5 and Multiply 1/5 * 2/5 |
| Step 3: Reduce or cross reduce.
24/1 * 3/2 = 12/1 * 3/1 |
Step 3: Reduce or cross reduce.
|
|
Step 4: Multiply the numerators
and 12/1 * 3/1 = 36/1
|
Step 4: Multiply the numerators
and multiply the denominators. 1/5 * 2/5 = 2/25 |
|
Step 5: If necessary, convert the
answer 36/1 = 36
|
Step 5: If necessary, convert the
answer
|
| Step 6: Put the answer into lowest
terms.
36 |
Step 6: Put the answer into lowest
terms.
2/25 |