Solve For $p$:${ \frac{p+1}{24} = \frac{9}{4} }$p =$

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Introduction

Solving for $p$ in the given equation is a fundamental problem in algebra that requires a step-by-step approach. The equation $\frac{p+1}{24} = \frac{9}{4}$ involves fractions and variables, making it a challenging problem to solve. In this article, we will guide you through the process of solving for $p$ using algebraic manipulations.

Understanding the Equation

The given equation is $\frac{p+1}{24} = \frac{9}{4}$. To solve for $p$, we need to isolate the variable $p$ on one side of the equation. The first step is to understand the equation and identify the operations that need to be performed.

Multiplying Both Sides by 24

To eliminate the fraction on the left side of the equation, we can multiply both sides by 24. This will give us:

$$24 \times \frac{p+1}{24} = 24 \times \frac{9}{4}$$

Simplifying the equation, we get:

$$p+1 = 72$$

Subtracting 1 from Both Sides

To isolate the variable $p$, we need to subtract 1 from both sides of the equation. This will give us:

$$p+1-1 = 72-1$$

Simplifying the equation, we get:

$$p = 71$$

Conclusion

In this article, we solved for $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$. We started by multiplying both sides of the equation by 24 to eliminate the fraction, and then subtracted 1 from both sides to isolate the variable $p$. The final solution is $p = 71$.

Step-by-Step Solution

Here is the step-by-step solution to the problem:

1. Multiply both sides of the equation by 24:

$$24 \times \frac{p+1}{24} = 24 \times \frac{9}{4}$$

2. Simplify the equation:

$$p+1 = 72$$

3. Subtract 1 from both sides:

$$p+1-1 = 72-1$$

4. Simplify the equation:

$$p = 71$$

Frequently Asked Questions

• What is the value of $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$?
• How do I solve for $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$?
• What is the step-by-step solution to the problem?

Final Answer

The final answer is $\boxed{71}$.

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Introduction

In our previous article, we solved for $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$. We received many questions from readers who were struggling to understand the solution. In this article, we will address some of the most frequently asked questions and provide additional explanations to help you better understand the solution.

Q&A

Q: What is the value of $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$?

A: The value of $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$ is 71.

Q: How do I solve for $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$?

A: To solve for $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$, you need to follow these steps:

1. Multiply both sides of the equation by 24:

$$24 \times \frac{p+1}{24} = 24 \times \frac{9}{4}$$

2. Simplify the equation:

$$p+1 = 72$$

3. Subtract 1 from both sides:

$$p+1-1 = 72-1$$

4. Simplify the equation:

$$p = 71$$

Q: What is the step-by-step solution to the problem?

A: Here is the step-by-step solution to the problem:

1. Multiply both sides of the equation by 24:

$$24 \times \frac{p+1}{24} = 24 \times \frac{9}{4}$$

2. Simplify the equation:

$$p+1 = 72$$

3. Subtract 1 from both sides:

$$p+1-1 = 72-1$$

4. Simplify the equation:

$$p = 71$$

Q: Why do I need to multiply both sides of the equation by 24?

A: You need to multiply both sides of the equation by 24 to eliminate the fraction on the left side of the equation. This will give you a simpler equation that is easier to solve.

Q: Why do I need to subtract 1 from both sides of the equation?

A: You need to subtract 1 from both sides of the equation to isolate the variable $p$. This will give you the final solution to the problem.

Additional Tips and Tricks

• Make sure to follow the order of operations when solving equations. This means that you should perform multiplication and division before addition and subtraction.
• Use algebraic manipulations to simplify equations and make them easier to solve.
• Check your work by plugging the final solution back into the original equation.

Conclusion

In this article, we addressed some of the most frequently asked questions about solving for $p$ in the equation $\frac{p+1}{24} = \frac{9}{4}$. We provided step-by-step solutions and additional explanations to help you better understand the solution. We hope that this article has been helpful in answering your questions and providing you with a better understanding of the solution.

Final Answer

The final answer is $\boxed{71}$.