Rewrite The Expression Using Whole Numbers:${ \begin{aligned} & 5 \frac{2}{3} - 1 \frac{1}{2} \ = & \square \square \end{aligned} }$

Understanding Mixed Numbers

In mathematics, a mixed number is a combination of a whole number and a fraction. It is written in the form of a whole number followed by a fraction, such as $5 \frac{2}{3}$ or $1 \frac{1}{2}$. When we are given an expression involving mixed numbers, we need to rewrite it using whole numbers to simplify the calculation.

Rewriting Mixed Numbers as Whole Numbers

To rewrite a mixed number as a whole number, we need to convert the fraction part into an equivalent decimal or fraction that can be added to the whole number. Let's take the example of $5 \frac{2}{3}$. We can rewrite it as:

$$5 \frac{2}{3} = 5 + \frac{2}{3}$$

To convert the fraction $\frac{2}{3}$ into a decimal, we can divide the numerator by the denominator:

$$\frac{2}{3} = 0.67$$

Now, we can add the whole number and the decimal:

$$5 + 0.67 = 5.67$$

Therefore, $5 \frac{2}{3}$ can be rewritten as $5.67$.

Rewriting the Expression

Now that we have rewritten the mixed numbers as whole numbers, we can rewrite the original expression:

$$5 \frac{2}{3} - 1 \frac{1}{2} = 5.67 - 1.5$$

Simplifying the Expression

To simplify the expression, we can subtract the two whole numbers:

$$5.67 - 1.5 = 4.17$$

Therefore, the rewritten expression is:

$$5 \frac{2}{3} - 1 \frac{1}{2} = 4.17$$

Conclusion

In this article, we learned how to rewrite mixed numbers as whole numbers and simplify expressions involving mixed numbers. We used the example of $5 \frac{2}{3} - 1 \frac{1}{2}$ to demonstrate the process. By converting the mixed numbers to whole numbers, we can simplify the expression and arrive at the final answer.

Tips and Tricks

• When rewriting mixed numbers as whole numbers, make sure to convert the fraction part into an equivalent decimal or fraction.
• Use the decimal form of the fraction to add or subtract the whole number.
• Simplify the expression by subtracting the two whole numbers.

Common Mistakes

• Failing to convert the fraction part into an equivalent decimal or fraction.
• Adding or subtracting the whole number and the fraction part separately.
• Not simplifying the expression after rewriting the mixed numbers as whole numbers.

Real-World Applications

Rewriting mixed numbers as whole numbers has many real-world applications, such as:

• Calculating discounts or sales tax on a purchase.
• Determining the cost of a meal or a service.
• Calculating the area or perimeter of a shape.

By mastering the skill of rewriting mixed numbers as whole numbers, you can simplify complex expressions and arrive at accurate answers in a variety of real-world situations.

Practice Problems

1. Rewrite the mixed number $3 \frac{1}{4}$ as a whole number.
2. Simplify the expression $2 \frac{3}{4} - 1 \frac{1}{2}$.
3. Rewrite the mixed number $4 \frac{2}{3}$ as a whole number.

Answer Key

1. $3.25$
2. $1.25$
3. $4.67$
   Q&A: Rewriting Mixed Numbers as Whole Numbers =====================================================

Frequently Asked Questions

In this article, we will answer some of the most frequently asked questions about rewriting mixed numbers as whole numbers.

Q: What is a mixed number?

A: A mixed number is a combination of a whole number and a fraction. It is written in the form of a whole number followed by a fraction, such as $5 \frac{2}{3}$ or $1 \frac{1}{2}$.

Q: Why do we need to rewrite mixed numbers as whole numbers?

A: We need to rewrite mixed numbers as whole numbers to simplify the calculation and make it easier to work with. By converting the mixed number to a whole number, we can perform arithmetic operations such as addition and subtraction more easily.

Q: How do I rewrite a mixed number as a whole number?

A: To rewrite a mixed number as a whole number, you need to convert the fraction part into an equivalent decimal or fraction that can be added to the whole number. For example, if you have the mixed number $5 \frac{2}{3}$, you can rewrite it as $5 + \frac{2}{3}$.

Q: What is the decimal form of a fraction?

A: The decimal form of a fraction is obtained by dividing the numerator by the denominator. For example, the decimal form of $\frac{2}{3}$ is $0.67$.

Q: How do I add or subtract whole numbers and fractions?

A: To add or subtract whole numbers and fractions, you need to convert the fraction to a decimal and then perform the arithmetic operation. For example, if you have the expression $5 \frac{2}{3} - 1 \frac{1}{2}$, you can rewrite it as $5.67 - 1.5$.

Q: What are some common mistakes to avoid when rewriting mixed numbers as whole numbers?

A: Some common mistakes to avoid when rewriting mixed numbers as whole numbers include:

• Failing to convert the fraction part into an equivalent decimal or fraction.
• Adding or subtracting the whole number and the fraction part separately.
• Not simplifying the expression after rewriting the mixed numbers as whole numbers.

Q: What are some real-world applications of rewriting mixed numbers as whole numbers?

A: Some real-world applications of rewriting mixed numbers as whole numbers include:

• Calculating discounts or sales tax on a purchase.
• Determining the cost of a meal or a service.
• Calculating the area or perimeter of a shape.

Q: How can I practice rewriting mixed numbers as whole numbers?

A: You can practice rewriting mixed numbers as whole numbers by working on problems and exercises that involve converting mixed numbers to whole numbers. You can also use online resources and practice tests to help you improve your skills.

Q: What are some tips for mastering the skill of rewriting mixed numbers as whole numbers?

A: Some tips for mastering the skill of rewriting mixed numbers as whole numbers include:

• Practice, practice, practice: The more you practice rewriting mixed numbers as whole numbers, the more comfortable you will become with the process.
• Use visual aids: Visual aids such as diagrams and charts can help you understand the concept of rewriting mixed numbers as whole numbers.
• Break down complex problems: Break down complex problems into smaller, more manageable parts to make it easier to rewrite the mixed numbers as whole numbers.

Conclusion

In this article, we have answered some of the most frequently asked questions about rewriting mixed numbers as whole numbers. By mastering the skill of rewriting mixed numbers as whole numbers, you can simplify complex expressions and arrive at accurate answers in a variety of real-world situations.