Dividing Fractions: 1 1/4 Divided by 3
This article will guide you through dividing the mixed number 1 1/4 by the whole number 3. Let's break down the process step-by-step.
1. Convert the Mixed Number to an Improper Fraction
First, we need to convert the mixed number 1 1/4 into an improper fraction. To do this, follow these steps:
- Multiply the whole number by the denominator: 1 * 4 = 4
- Add the numerator: 4 + 1 = 5
- Keep the same denominator: 5/4
Now, our problem becomes 5/4 divided by 3.
2. Rewrite the Whole Number as a Fraction
Every whole number can be written as a fraction by placing it over 1. Therefore, 3 can be written as 3/1.
3. Invert the Second Fraction and Multiply
When dividing fractions, we invert the second fraction and multiply. This means we change 3/1 to 1/3.
Now, our problem is 5/4 multiplied by 1/3.
4. Multiply the Numerators and Denominators
- Multiply the numerators: 5 * 1 = 5
- Multiply the denominators: 4 * 3 = 12
Therefore, 5/4 divided by 3 is equal to 5/12.
Conclusion
We successfully divided 1 1/4 by 3 and arrived at the answer 5/12. By following these steps, you can easily divide mixed numbers by whole numbers and obtain the correct fractional representation.