Lesson 5
Let's see how to multiply fractions that have the numerator 1.
The Jacksons planted vegetables in 1/2 of their garden. They used 1/4 of the vegetable space for radishes.
How much of the total garden is occupied by radishes?
| Let's find a method for calculating |
1 |
× |
1 |
. |
| 4 | 2 |
| The pictures above represent the Jacksons' garden. The pictures show that |
1 |
× |
1 |
is the same as |
1 |
of |
1 |
. |
| 4 | 2 | 4 | 2 |
| Therefore, |
1 |
× |
1 |
= |
1 |
= |
1 |
. |
| 4 | 2 | 4 × 2 | 8 |
| Use the number line below to help you think of a way to calculate |
1 |
× |
1 |
. |
| 3 | 4 |
113
| As the number line shows, |
1 |
× |
1 |
is the same as |
1 |
of |
1 |
. |
| 3 | 4 | 3 | 4 |
| Therefore, |
1 |
× |
1 |
= |
1 |
= |
1 |
. |
| 3 | 4 | 3 × 4 | 12 |
| The figure below represents expressions like |
1 |
× |
1 |
= |
1 |
: |
| 3 | 4 | 3 × 4 |
Multiply the following fractions.
Patrick had 1/2 liter of green paint. He used 1/3 of the paint to touch up his bicycle. How much paint did he use on his bike?
