Roberto Needs $18 \frac{1}{4}$ Feet Of Lumber For A Project. He Has $10 \frac{1}{2}$ Feet Of Lumber. How Many More Feet Does He Need?A. \$6 \frac{7}{8}$[/tex\] B. $7 \frac{1}{4}$ C. $7

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Roberto's Lumber Conundrum: A Math Problem to Solve

In this article, we will delve into a mathematical problem that requires us to perform subtraction with mixed numbers. Mixed numbers are a combination of a whole number and a fraction. In this case, Roberto needs to determine how many more feet of lumber he needs for a project. He has a certain amount of lumber, but it's not enough, and he needs to find out how much more he requires.

Before we dive into the problem, let's understand what mixed numbers are. A mixed number is a combination of a whole number and a fraction. It's written in the form of a whole number followed by a fraction. For example, $3 \frac{1}{2}$ is a mixed number that represents 3 whole units and 1/2 of another unit.

Roberto needs $18 \frac{1}{4}$ feet of lumber for a project. He has $10 \frac{1}{2}$ feet of lumber. How many more feet does he need?

To solve this problem, we need to subtract the amount of lumber Roberto has from the amount he needs. This will give us the additional amount of lumber he requires.

To subtract mixed numbers, we need to follow a specific procedure. We'll start by subtracting the whole numbers, and then we'll subtract the fractions.

Step 1: Subtract the Whole Numbers

First, we'll subtract the whole numbers. Roberto needs $18 \frac{1}{4}$ feet of lumber, and he has $10 \frac{1}{2}$ feet of lumber. To subtract the whole numbers, we'll subtract 18 from 10.

18−10=818 - 10 = 8

So, Roberto needs 8 more whole units of lumber.

Step 2: Subtract the Fractions

Next, we'll subtract the fractions. Roberto needs $\frac{1}{4}$ feet of lumber, and he has $\frac{1}{2}$ feet of lumber. To subtract the fractions, we'll find a common denominator, which is 4.

12=24\frac{1}{2} = \frac{2}{4}

Now, we can subtract the fractions:

14−24=−14\frac{1}{4} - \frac{2}{4} = -\frac{1}{4}

Since we can't have a negative fraction, we'll convert it to a positive fraction by changing the sign:

−14=34-\frac{1}{4} = \frac{3}{4}

So, Roberto needs $\frac{3}{4}$ feet of lumber.

Combining the Whole Numbers and Fractions

Now, we'll combine the whole numbers and fractions to find the total amount of lumber Roberto needs.

8348 \frac{3}{4}

In conclusion, Roberto needs $8 \frac{3}{4}$ feet of lumber for his project. This is the additional amount of lumber he requires to complete his project.

The correct answer is:

8348 \frac{3}{4}

This is the amount of lumber Roberto needs to complete his project.

This problem requires us to perform subtraction with mixed numbers. We need to subtract the whole numbers and then subtract the fractions. The common denominator for the fractions is 4. We can't have a negative fraction, so we'll convert it to a positive fraction by changing the sign.

This problem has real-world applications in various fields, such as construction, carpentry, and engineering. In these fields, workers need to measure and calculate the amount of materials required for a project. This problem demonstrates how to perform subtraction with mixed numbers, which is an essential skill in these fields.

Here are some practice problems to help you understand how to subtract mixed numbers:

  1. Roberto needs $12 \frac{1}{3}$ feet of lumber for a project. He has $8 \frac{2}{3}$ feet of lumber. How many more feet does he need?
  2. Maria needs $15 \frac{1}{2}$ feet of lumber for a project. She has $10 \frac{3}{4}$ feet of lumber. How many more feet does she need?
  3. John needs $20 \frac{1}{4}$ feet of lumber for a project. He has $14 \frac{1}{2}$ feet of lumber. How many more feet does he need?

  1. 3133 \frac{1}{3}

  2. 4144 \frac{1}{4}

  3. 5 \frac{3}{4}$<br/>

Roberto's Lumber Conundrum: A Math Problem to Solve - Q&A

In our previous article, we solved a mathematical problem that required us to perform subtraction with mixed numbers. Roberto needed to determine how many more feet of lumber he needed for a project. He had a certain amount of lumber, but it was not enough, and he needed to find out how much more he required.

In this article, we will answer some frequently asked questions related to the problem. We will also provide additional explanations and examples to help you understand the concept of subtracting mixed numbers.

Q: What is a mixed number?

A: A mixed number is a combination of a whole number and a fraction. It's written in the form of a whole number followed by a fraction. For example, $3 \frac{1}{2}$ is a mixed number that represents 3 whole units and 1/2 of another unit.

Q: How do I subtract mixed numbers?

A: To subtract mixed numbers, you need to follow a specific procedure. First, subtract the whole numbers, and then subtract the fractions. Make sure to find a common denominator for the fractions.

Q: What is a common denominator?

A: A common denominator is the smallest number that both fractions can divide into evenly. For example, if you have two fractions with denominators of 4 and 6, the common denominator would be 12.

Q: How do I find the common denominator?

A: To find the common denominator, you need to list the multiples of each denominator and find the smallest number that appears in both lists. For example, if you have two fractions with denominators of 4 and 6, the multiples of 4 are 4, 8, 12, 16, etc. The multiples of 6 are 6, 12, 18, 24, etc. The common denominator is 12.

Q: What if I have a negative fraction?

A: If you have a negative fraction, you can convert it to a positive fraction by changing the sign. For example, if you have $-\frac{1}{4}$, you can convert it to $\frac{3}{4}$ by changing the sign.

Q: Can I have a negative mixed number?

A: Yes, you can have a negative mixed number. A negative mixed number is a combination of a negative whole number and a fraction. For example, $-3 \frac{1}{2}$ is a negative mixed number that represents -3 whole units and 1/2 of another unit.

Q: How do I add mixed numbers?

A: To add mixed numbers, you need to follow a specific procedure. First, add the whole numbers, and then add the fractions. Make sure to find a common denominator for the fractions.

Q: Can I subtract a whole number from a mixed number?

A: Yes, you can subtract a whole number from a mixed number. To do this, you need to subtract the whole number from the whole part of the mixed number. For example, if you have $3 \frac{1}{2}$ and you subtract 2, you would get $1 \frac{1}{2}$.

Q: Can I subtract a fraction from a mixed number?

A: Yes, you can subtract a fraction from a mixed number. To do this, you need to subtract the fraction from the fraction part of the mixed number. For example, if you have $3 \frac{1}{2}$ and you subtract $\frac{1}{4}$, you would get $3 \frac{1}{4}$.

In conclusion, subtracting mixed numbers requires a specific procedure. You need to subtract the whole numbers and then subtract the fractions. Make sure to find a common denominator for the fractions. We hope this Q&A session has helped you understand the concept of subtracting mixed numbers.

Here are some practice problems to help you understand how to subtract mixed numbers:

  1. Roberto needs $12 \frac{1}{3}$ feet of lumber for a project. He has $8 \frac{2}{3}$ feet of lumber. How many more feet does he need?
  2. Maria needs $15 \frac{1}{2}$ feet of lumber for a project. She has $10 \frac{3}{4}$ feet of lumber. How many more feet does she need?
  3. John needs $20 \frac{1}{4}$ feet of lumber for a project. He has $14 \frac{1}{2}$ feet of lumber. How many more feet does he need?

  1. 3133 \frac{1}{3}

  2. 4144 \frac{1}{4}

  3. 5345 \frac{3}{4}