C) Thulani Runs 5 1 2 Km 5 \frac{1}{2} \text{ Km} 5 2 1 ​ Km Daily. How Far Does She Run In 7 Days?

Introduction

Thulani is an avid runner who covers a significant distance every day. To determine how far she runs in 7 days, we need to calculate her daily running distance and then multiply it by the number of days. In this article, we will explore the concept of mixed numbers and how to convert them to decimal form, making it easier to perform calculations.

Understanding Mixed Numbers

A mixed number is a combination of a whole number and a fraction. It is written in the form of $a \frac{b}{c}$, where $a$ is the whole number, $b$ is the numerator, and $c$ is the denominator. In Thulani's case, her daily running distance is $5 \frac{1}{2} \text{ km}$, which can be written as a mixed number.

Converting Mixed Numbers to Decimal Form

To convert a mixed number to decimal form, we need to divide the numerator by the denominator and add the whole number. In this case, we can convert $5 \frac{1}{2}$ to decimal form as follows:

$$5 \frac{1}{2} = 5 + \frac{1}{2} = 5 + 0.5 = 5.5$$

Now that we have Thulani's daily running distance in decimal form, we can multiply it by the number of days to determine how far she runs in 7 days.

Calculating Thulani's Total Running Distance

To calculate Thulani's total running distance, we need to multiply her daily running distance by the number of days. In this case, we will multiply 5.5 km by 7 days.

$$\text{Total Running Distance} = 5.5 \text{ km/day} \times 7 \text{ days}$$

$$\text{Total Running Distance} = 38.5 \text{ km}$$

Therefore, Thulani runs a total distance of 38.5 km in 7 days.

Conclusion

In this article, we explored the concept of mixed numbers and how to convert them to decimal form. We then applied this concept to calculate Thulani's total running distance in 7 days. By understanding mixed numbers and converting them to decimal form, we can perform calculations with ease and accuracy.

Real-World Applications

The concept of mixed numbers and decimal form has numerous real-world applications. For example, in cooking, recipes often require mixed measurements, such as $2 \frac{1}{4}$ cups of flour. By converting these measurements to decimal form, we can ensure that we have the correct amount of ingredients.

In addition, the concept of mixed numbers and decimal form is essential in mathematics, particularly in algebra and geometry. By understanding how to convert mixed numbers to decimal form, we can perform calculations with ease and accuracy, making it easier to solve problems and equations.

Final Thoughts

Introduction

In our previous article, we explored the concept of mixed numbers and how to convert them to decimal form. We then applied this concept to calculate Thulani's total running distance in 7 days. In this article, we will answer some frequently asked questions related to Thulani's daily running distance and mixed numbers.

Q&A

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 $a \frac{b}{c}$, where $a$ is the whole number, $b$ is the numerator, and $c$ is the denominator.

Q: How do I convert a mixed number to decimal form?

A: To convert a mixed number to decimal form, you need to divide the numerator by the denominator and add the whole number. For example, to convert $5 \frac{1}{2}$ to decimal form, you would divide 1 by 2 and add 5, resulting in 5.5.

Q: Why is it important to convert mixed numbers to decimal form?

A: Converting mixed numbers to decimal form makes it easier to perform calculations and solve problems. It also helps to avoid confusion when working with fractions and decimals.

Q: Can I use mixed numbers in real-world applications?

A: Yes, mixed numbers are commonly used in real-world applications, such as cooking, building, and finance. For example, a recipe might require $2 \frac{1}{4}$ cups of flour, or a builder might need to calculate the cost of $3 \frac{1}{2}$ tons of materials.

Q: How do I calculate Thulani's total running distance in 7 days?

A: To calculate Thulani's total running distance, you need to multiply her daily running distance by the number of days. In this case, you would multiply 5.5 km by 7 days, resulting in a total distance of 38.5 km.

Q: What if I have a mixed number with a different denominator?

A: If you have a mixed number with a different denominator, you can still convert it to decimal form by dividing the numerator by the denominator and adding the whole number. For example, to convert $4 \frac{3}{8}$ to decimal form, you would divide 3 by 8 and add 4, resulting in 4.375.

Q: Can I use a calculator to convert mixed numbers to decimal form?

A: Yes, you can use a calculator to convert mixed numbers to decimal form. Simply enter the mixed number into the calculator and it will display the decimal equivalent.

Conclusion

In this article, we answered some frequently asked questions related to Thulani's daily running distance and mixed numbers. We hope that this Q&A article has provided you with a better understanding of mixed numbers and how to convert them to decimal form. Whether you're a math student or a real-world problem solver, understanding mixed numbers and decimal form is essential for performing calculations and solving problems with ease and accuracy.

Real-World Applications

The concept of mixed numbers and decimal form has numerous real-world applications. For example, in cooking, recipes often require mixed measurements, such as $2 \frac{1}{4}$ cups of flour. By converting these measurements to decimal form, you can ensure that you have the correct amount of ingredients.

In addition, the concept of mixed numbers and decimal form is essential in mathematics, particularly in algebra and geometry. By understanding how to convert mixed numbers to decimal form, you can perform calculations with ease and accuracy, making it easier to solve problems and equations.

Final Thoughts

In conclusion, Thulani's daily running distance of $5 \frac{1}{2} \text{ km}$ is equivalent to 5.5 km in decimal form. By multiplying this distance by the number of days, we can determine how far she runs in 7 days. The concept of mixed numbers and decimal form is essential in mathematics and has numerous real-world applications. By understanding how to convert mixed numbers to decimal form, we can perform calculations with ease and accuracy, making it easier to solve problems and equations.