Converting 1 1/3 Times 2 To Fraction Form Easily

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Converting mixed numbers to fraction form can be a bit tricky, but with the right approach, it can be done easily. In this article, we will explore how to convert 1 1/3 times 2 to fraction form.

Understanding Mixed Numbers

A mixed number is a combination of a whole number and a fraction. For example, 1 1/3 is a mixed number where 1 is the whole number and 1/3 is the fraction. To convert a mixed number to fraction form, we need to multiply the whole number by the denominator and then add the numerator.

Converting 1 1/3 to Fraction Form

To convert 1 1/3 to fraction form, we need to follow these steps:

1. Multiply the whole number by the denominator: 1 x 3 = 3
2. Add the numerator: 3 + 1 = 4
3. Write the result as a fraction: 4/3

So, 1 1/3 in fraction form is 4/3.

Multiplying Fractions by Whole Numbers

Now that we have converted 1 1/3 to fraction form, we can multiply it by 2. To multiply a fraction by a whole number, we simply multiply the numerator by the whole number.

Multiplication of Fractions

The formula for multiplying a fraction by a whole number is:

Fraction × Whole Number = (Numerator × Whole Number) / Denominator

In this case, we have:

(4/3) × 2 = (4 × 2) / 3 = 8/3

So, 1 1/3 times 2 is equal to 8/3.

Real-World Applications

Converting mixed numbers to fraction form and multiplying fractions by whole numbers have many real-world applications. For example, in cooking, you may need to multiply a recipe by 2 or 3 to feed a larger crowd. In finance, you may need to calculate interest rates or investment returns.

Practical Examples

Here are a few practical examples:

• A recipe calls for 1 1/3 cups of flour. If you want to make twice the amount, how much flour do you need? (Answer: 8/3 cups or 2 2/3 cups)
• A store is having a sale where everything is 20% off. If you buy 2 items that cost $1 1/3 each, how much will you pay in total? (Answer: $2.67 or 2 2/3 dollars)

Tips and Tricks

Here are a few tips and tricks to help you convert mixed numbers to fraction form and multiply fractions by whole numbers:

• Always multiply the whole number by the denominator first.
• Use a calculator to check your answers.
• Practice, practice, practice! The more you practice, the more comfortable you will become with converting mixed numbers to fraction form and multiplying fractions by whole numbers.

Common Mistakes

Here are a few common mistakes to avoid when converting mixed numbers to fraction form and multiplying fractions by whole numbers:

• Forgetting to multiply the whole number by the denominator.
• Adding the numerator instead of multiplying it.
• Forgetting to simplify the fraction.

Avoiding Common Mistakes

To avoid these common mistakes, make sure to follow the steps carefully and double-check your answers.

Conclusion

Converting mixed numbers to fraction form and multiplying fractions by whole numbers can be a bit tricky, but with the right approach, it can be done easily. By following the steps outlined in this article and practicing regularly, you can become proficient in converting mixed numbers to fraction form and multiplying fractions by whole numbers.

We hope this article has been helpful in explaining how to convert 1 1/3 times 2 to fraction form. If you have any questions or comments, please feel free to share them below.