Dividing fractions by whole numbers involves a simple process of converting the whole number into a fraction and then multiplying by the reciprocal. Here's a breakdown, perfect for 6th graders:
Steps to Divide Fractions by Whole Numbers
Here's how to divide a fraction by a whole number, explained clearly with steps and an example, using information from the provided reference:
| Step | Description | Example (3/4 ÷ 6) |
|---|---|---|
| 1 | Keep the fraction as it is. You start with the fraction that you're dividing. | 3/4 |
| 2 | Flip the whole number turning it into a fraction by putting it over 1, then find its reciprocal. Any whole number, 'a', becomes 1/a. | 6 becomes 6/1, then flips to become 1/6 |
| 3 | Change the sign to multiplication and multiply. Multiply the first fraction by the reciprocal of the second fraction. | 3/4 × 1/6 = 3/24 |
| 4 | Simplify the fraction. Reduce the fraction to its simplest form. | 3/24 = 1/8 |
Example: Let's divide 3/4 by 6.
- Step 1: Keep the fraction 3/4. (Reference 1)
- Step 2: Flip the whole number 6. This means 6 (or 6/1) becomes 1/6. (Reference 2)
- Step 3: Change the division sign to multiplication and multiply: 3/4 x 1/6 = 3/24. (Reference 3)
- Step 4: Simplify the fraction 3/24. Both 3 and 24 are divisible by 3, so 3/24 simplifies to 1/8.
Therefore, 3/4 ÷ 6 = 1/8.
Another Example
Let's try dividing 2/5 by 4:
- Keep 2/5.
- Flip 4 (which is 4/1) to get 1/4.
- Multiply: 2/5 x 1/4 = 2/20.
- Simplify: 2/20 simplifies to 1/10.
So, 2/5 ÷ 4 = 1/10.
