Can You Please Tell Me What 3 1/4* 1 1/3

=====================================================

Introduction

Multiplying mixed numbers can be a challenging task, but with the right approach, it can be simplified. In this article, we will explore the concept of multiplying mixed numbers and provide a step-by-step guide on how to do it.

What are Mixed Numbers?

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 3 1/4 or 2 3/4. Mixed numbers can be converted to improper fractions, which are fractions with a larger numerator than denominator.

Converting Mixed Numbers to Improper Fractions

To convert a mixed number to an improper fraction, we need to multiply the whole number by the denominator and then add the numerator. The result is then written as a fraction with the product as the numerator and the denominator remaining the same.

Example 1: Converting 3 1/4 to an Improper Fraction

To convert 3 1/4 to an improper fraction, we multiply 3 by 4 and add 1.

3 × 4 = 12 12 + 1 = 13

So, 3 1/4 is equal to 13/4.

Example 2: Converting 2 3/4 to an Improper Fraction

To convert 2 3/4 to an improper fraction, we multiply 2 by 4 and add 3.

2 × 4 = 8 8 + 3 = 11

So, 2 3/4 is equal to 11/4.

Multiplying Mixed Numbers

Now that we have converted the mixed numbers to improper fractions, we can multiply them. To multiply two fractions, we multiply the numerators and multiply the denominators.

Example 1: Multiplying 3 1/4 and 1 1/3

First, we convert the mixed numbers to improper fractions.

3 1/4 = 13/4 1 1/3 = 4/3

Next, we multiply the fractions.

(13/4) × (4/3) = (13 × 4) / (4 × 3) = 52 / 12 = 13 / 3

So, 3 1/4 × 1 1/3 = 13/3.

Example 2: Multiplying 2 3/4 and 1 1/2

First, we convert the mixed numbers to improper fractions.

2 3/4 = 11/4 1 1/2 = 3/2

Next, we multiply the fractions.

(11/4) × (3/2) = (11 × 3) / (4 × 2) = 33 / 8

So, 2 3/4 × 1 1/2 = 33/8.

Conclusion

Multiplying mixed numbers can be a challenging task, but with the right approach, it can be simplified. By converting the mixed numbers to improper fractions and then multiplying the fractions, we can simplify the process. In this article, we have provided a step-by-step guide on how to multiply mixed numbers and have used examples to illustrate the concept.

Frequently Asked Questions

Q: What is the difference between a mixed number and an improper fraction?

A: A mixed number is a combination of a whole number and a fraction, while an improper fraction is a fraction with a larger numerator than denominator.

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you need to multiply the whole number by the denominator and then add the numerator.

Q: How do I multiply mixed numbers?

A: To multiply mixed numbers, you need to convert them to improper fractions and then multiply the fractions.

Final Thoughts

Multiplying mixed numbers can be a challenging task, but with the right approach, it can be simplified. By converting the mixed numbers to improper fractions and then multiplying the fractions, we can simplify the process. We hope that this article has provided a helpful guide on how to multiply mixed numbers and has helped you to understand the concept better.

=====================================================

Introduction

Multiplying mixed numbers can be a challenging task, but with the right approach, it can be simplified. In this article, we will provide a Q&A guide on multiplying mixed numbers, covering common questions and providing step-by-step solutions.

Q: What is the difference between a mixed number and an improper fraction?

A: A mixed number is a combination of a whole number and a fraction, while an improper fraction is a fraction with a larger numerator than denominator.

Example: 3 1/4 vs 13/4

3 1/4 is a mixed number, while 13/4 is an improper fraction.

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you need to multiply the whole number by the denominator and then add the numerator.

Example: Converting 2 3/4 to an Improper Fraction

To convert 2 3/4 to an improper fraction, we multiply 2 by 4 and add 3.

2 × 4 = 8 8 + 3 = 11

So, 2 3/4 is equal to 11/4.

Q: How do I multiply mixed numbers?

A: To multiply mixed numbers, you need to convert them to improper fractions and then multiply the fractions.

Example: Multiplying 3 1/4 and 1 1/3

First, we convert the mixed numbers to improper fractions.

3 1/4 = 13/4 1 1/3 = 4/3

Next, we multiply the fractions.

(13/4) × (4/3) = (13 × 4) / (4 × 3) = 52 / 12 = 13 / 3

So, 3 1/4 × 1 1/3 = 13/3.

Q: What is the rule for multiplying fractions?

A: To multiply fractions, you need to multiply the numerators and multiply the denominators.

Example: Multiplying 1/2 and 3/4

To multiply 1/2 and 3/4, we multiply the numerators and multiply the denominators.

(1 × 3) / (2 × 4) = 3 / 8

So, 1/2 × 3/4 = 3/8.

Q: Can I multiply mixed numbers with different denominators?

A: Yes, you can multiply mixed numbers with different denominators. To do this, you need to convert the mixed numbers to improper fractions and then multiply the fractions.

Example: Multiplying 2 3/4 and 1 1/2

First, we convert the mixed numbers to improper fractions.

2 3/4 = 11/4 1 1/2 = 3/2

Next, we multiply the fractions.

(11/4) × (3/2) = (11 × 3) / (4 × 2) = 33 / 8

So, 2 3/4 × 1 1/2 = 33/8.

Q: Can I multiply mixed numbers with a zero in the numerator?

A: Yes, you can multiply mixed numbers with a zero in the numerator. To do this, you need to convert the mixed numbers to improper fractions and then multiply the fractions.

Example: Multiplying 0 1/4 and 1 1/3

First, we convert the mixed numbers to improper fractions.

0 1/4 = 1/4 1 1/3 = 4/3

Next, we multiply the fractions.

(1/4) × (4/3) = (1 × 4) / (4 × 3) = 4 / 12 = 1 / 3

So, 0 1/4 × 1 1/3 = 1/3.

Q: Can I multiply mixed numbers with a zero in the denominator?

A: No, you cannot multiply mixed numbers with a zero in the denominator. This is because division by zero is undefined.

Example: Multiplying 2 3/4 and 0

We cannot multiply 2 3/4 and 0 because division by zero is undefined.

Q: Can I multiply mixed numbers with a negative number?

A: Yes, you can multiply mixed numbers with a negative number. To do this, you need to convert the mixed numbers to improper fractions and then multiply the fractions.

Example: Multiplying -2 3/4 and 1 1/3

First, we convert the mixed numbers to improper fractions.

-2 3/4 = -11/4 1 1/3 = 4/3

Next, we multiply the fractions.

(-11/4) × (4/3) = (-11 × 4) / (4 × 3) = -44 / 12 = -11 / 3

So, -2 3/4 × 1 1/3 = -11/3.

Conclusion

Multiplying mixed numbers can be a challenging task, but with the right approach, it can be simplified. By converting the mixed numbers to improper fractions and then multiplying the fractions, we can simplify the process. We hope that this Q&A guide has provided a helpful resource for understanding how to multiply mixed numbers.

Frequently Asked Questions

Q: What is the difference between a mixed number and an improper fraction?

A: A mixed number is a combination of a whole number and a fraction, while an improper fraction is a fraction with a larger numerator than denominator.

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you need to multiply the whole number by the denominator and then add the numerator.

Q: How do I multiply mixed numbers?

A: To multiply mixed numbers, you need to convert them to improper fractions and then multiply the fractions.

Final Thoughts

Multiplying mixed numbers can be a challenging task, but with the right approach, it can be simplified. By converting the mixed numbers to improper fractions and then multiplying the fractions, we can simplify the process. We hope that this Q&A guide has provided a helpful resource for understanding how to multiply mixed numbers.