Divide a Proper Fraction by a Proper Fraction
How to divide a proper fraction by a proper fraction?
Dividing a fraction by another fraction is the same as multiplying the first fraction by the inverse of the second fraction. Here are the steps:
Step 1: Change ÷ to × .
Step 2: Invert the second fraction.
Step 3: Simplify the expression.
Example:
Divide
by
.
÷
=
×
=
Step 1: Change ÷ to × .
Step 2: Invert the second fraction.
Step 3: Simplify the expression.
Example:
Divide
| 4 |
| 9 |
| 2 |
| 3 |
| 4 |
| 9 |
| 2 |
| 3 |
| 4 |
| 9 |
| 3 |
| 2 |
| 2 |
| 3 |
1. If a pizza is cut into quarters, how many slices do you get?
1 ÷
| 1 |
| 4 |
You get 4 slices.
2. If you have half a pizza and you cut that into quarters, how many slices do you get?
| 1 |
| 2 |
| 1 |
| 4 |
You get 2 slices.
3. If you have
| 2 |
| 3 |
| 2 |
| 3 |
| 1 |
| 6 |
You get 4 slices.
4. Ray has
| 5 |
| 6 |
He pours
| 1 |
| 12 |
How many teacups does he fill?
| 5 |
| 6 |
| 1 |
| 12 |
=
| 5 |
| 6 |
| 12 |
| 1 |
= 10
She fills 10 teacups.
5. Maya had
| 3 |
| 4 |
She packed the rice into bags of
| 1 |
| 10 |
a) How many bags did she make?
b) How much rice was left unpacked?
c) How much more rice does she need to make another bag of
| 1 |
| 10 |
a)
| 3 |
| 4 |
| 1 |
| 10 |
=
| 3 |
| 4 |
| 10 |
| 1 |
=
| 30 |
| 4 |
=
| 6 | 1 |
| 2 |
She made 6 bags.
b) 6 ×
| 1 |
| 10 |
| 3 |
| 5 |
There was
| 3 |
| 5 |
| 3 |
| 4 |
| 3 |
| 5 |
| 1 |
| 20 |
There was
| 1 |
| 20 |
c)
| 1 |
| 10 |
| 1 |
| 20 |
| 1 |
| 20 |
She needs
| 1 |
| 20 |
| 1 |
| 10 |
6. A rectangular piece of land
| 1 |
| 3 |
| 1 |
| 12 |
Find the length of fence needed to border the land.
Area of the rectangular land = length × breadth
| 1 |
| 12 |
| 1 |
| 3 |
Breadth
=
| 1 |
| 12 |
| 1 |
| 3 |
=
| 1 |
| 12 |
| 3 |
| 1 |
=
| 1 |
| 4 |
Border or Perimeter
= (2 × length) + (2 × breadth)
= (2 ×
| 1 |
| 3 |
| 1 |
| 4 |
=
| 2 |
| 3 |
| 1 |
| 2 |
=
| 7 |
| 6 |
=
| 1 | 1 |
| 6 |
The length of fence needed to border the land is
| 1 | 1 |
| 6 |