1 1/4 Divided By 3 As A Fraction

2 min read Jun 17, 2024
1 1/4 Divided By 3 As A Fraction

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.

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