Work Out The Value Of 1 4 7 × 6 1 \frac{4}{7} \times 6 1 7 4 ​ × 6 . Give Your Answer As A Whole Number Or As A Fraction In Its Lowest Terms.

Introduction

In mathematics, mixed numbers are a combination of a whole number and a fraction. When we multiply mixed numbers, we need to follow a specific procedure to get the correct result. In this article, we will work out the value of $1 \frac{4}{7} \times 6$ and provide the answer as a whole number or as a fraction in its lowest terms.

Understanding Mixed Numbers

A mixed number is a combination of a whole number and a fraction. It is written in the form $a \frac{b}{c}$, where $a$ is the whole number, $b$ is the numerator, and $c$ is the denominator. For example, $1 \frac{4}{7}$ is a mixed number where $1$ is the whole number, $4$ is the numerator, and $7$ is the denominator.

Multiplying Mixed Numbers

To multiply mixed numbers, we need to follow these steps:

1. Multiply the whole number by the numerator.
2. Multiply the whole number by the denominator.
3. Multiply the numerator by the denominator.
4. Add the results from steps 1 and 2.
5. Simplify the fraction, if necessary.

Working Out the Value of $1 \frac{4}{7} \times 6$

Now, let's apply the steps to work out the value of $1 \frac{4}{7} \times 6$.

Step 1: Multiply the whole number by the numerator

$1 \times 4 = 4$

Step 2: Multiply the whole number by the denominator

$1 \times 7 = 7$

Step 3: Multiply the numerator by the denominator

$4 \times 7 = 28$

Step 4: Add the results from steps 1 and 2

$4 + 7 = 11$

Step 5: Multiply the result from step 4 by 6

$11 \times 6 = 66$

Step 6: Simplify the fraction, if necessary

Since the result is a whole number, there is no need to simplify the fraction.

Conclusion

In this article, we worked out the value of $1 \frac{4}{7} \times 6$ by following the steps to multiply mixed numbers. The result is a whole number, which is $66$. We also provided a step-by-step guide on how to multiply mixed numbers, which can be applied to other problems.

Common Mistakes to Avoid

When multiplying mixed numbers, it's easy to make mistakes. Here are some common mistakes to avoid:

• Not following the order of operations: Make sure to follow the order of operations (PEMDAS) when multiplying mixed numbers.
• Not simplifying the fraction: Make sure to simplify the fraction, if necessary, to get the correct result.
• Not using the correct procedure: Make sure to use the correct procedure to multiply mixed numbers.

Real-World Applications

Multiplying mixed numbers has many real-world applications. For example:

• Cooking: When cooking, you may need to multiply mixed numbers to get the correct amount of ingredients.
• Building: When building, you may need to multiply mixed numbers to get the correct amount of materials.
• Science: When doing science experiments, you may need to multiply mixed numbers to get the correct amount of chemicals.

Practice Problems

Here are some practice problems to help you practice multiplying mixed numbers:

• $2 \frac{3}{4} \times 5$
• $3 \frac{2}{3} \times 4$
• $1 \frac{1}{2} \times 6$

Conclusion

Introduction

In our previous article, we discussed how to multiply mixed numbers and provided a step-by-step guide on how to do it. However, we know that practice makes perfect, and the best way to learn is by asking questions and getting answers. In this article, we will provide a Q&A guide on multiplying mixed numbers, covering common questions and scenarios that you may encounter.

Q: What is the difference between multiplying mixed numbers and multiplying fractions?

A: Multiplying mixed numbers and multiplying fractions are two different operations. When you multiply fractions, you simply multiply the numerators and denominators separately. However, when you multiply mixed numbers, you need to follow the steps outlined in our previous article, which involves multiplying the whole number by the numerator and denominator, and then adding the results.

Q: How do I multiply a mixed number by a whole number?

A: To multiply a mixed number by a whole number, you need to follow the same steps as multiplying a mixed number by another mixed number. However, you can simplify the process by multiplying the whole number by the numerator and denominator separately, and then adding the results.

Q: What if the denominator of the mixed number is not a factor of the whole number?

A: If the denominator of the mixed number is not a factor of the whole number, you will need to use the steps outlined in our previous article to multiply the mixed number by the whole number. This involves multiplying the whole number by the numerator and denominator separately, and then adding the results.

Q: Can I multiply a mixed number by a fraction?

A: Yes, you can multiply a mixed number by a fraction. To do this, you need to follow the same steps as multiplying a mixed number by another mixed number. However, you can simplify the process by multiplying the whole number by the numerator and denominator of the fraction separately, and then adding the results.

Q: What if I get a fraction as a result of multiplying mixed numbers?

A: If you get a fraction as a result of multiplying mixed numbers, you will need to simplify the fraction to get the correct result. This involves dividing the numerator and denominator by their greatest common divisor (GCD).

Q: Can I use a calculator to multiply mixed numbers?

A: Yes, you can use a calculator to multiply mixed numbers. However, it's always a good idea to double-check your work by following the steps outlined in our previous article.

Q: What are some common mistakes to avoid when multiplying mixed numbers?

A: Some common mistakes to avoid when multiplying mixed numbers include:

• Not following the order of operations (PEMDAS)
• Not simplifying the fraction, if necessary
• Not using the correct procedure to multiply mixed numbers

Q: How can I practice multiplying mixed numbers?

A: There are many ways to practice multiplying mixed numbers, including:

• Using online resources and practice problems
• Working with a tutor or teacher
• Practicing with real-world examples and scenarios

Conclusion

In conclusion, multiplying mixed numbers can be a challenging operation, but with practice and patience, you can become proficient in it. By following the steps outlined in our previous article and using the Q&A guide provided in this article, you can master the art of multiplying mixed numbers and apply it to real-world problems. Remember to avoid common mistakes and use the correct procedure to multiply mixed numbers. With practice, you will become proficient in multiplying mixed numbers and be able to apply it to a variety of scenarios.