Write And Solve The Equation, And Then Check Your Answer.The Quotient Of A Number And Six Is Sixteen.Choose The Correct Equation And Its Solution.A. \[$\frac{g}{6}=16 ; G=\frac{6}{16}\$\]B. \[$\frac{g}{6}=16 ; G=96\$\]C.

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Introduction

In this article, we will solve the equation that represents the quotient of a number and six is sixteen. We will choose the correct equation and its solution from the given options. The equation is in the form of a ratio, where the quotient of a number (g) and six is equal to sixteen.

Understanding the Equation

The equation is given as:

g6=16\frac{g}{6}=16

This equation states that the quotient of a number (g) and six is equal to sixteen. To solve for g, we need to isolate g on one side of the equation.

Solving the Equation

To solve for g, we can multiply both sides of the equation by 6, which is the denominator of the fraction. This will cancel out the 6 in the denominator and leave us with g alone.

g6×6=16×6\frac{g}{6} \times 6 = 16 \times 6

g=96g = 96

Therefore, the solution to the equation is g = 96.

Checking the Answer

To check our answer, we can plug g = 96 back into the original equation and see if it is true.

966=16\frac{96}{6} = 16

16=1616 = 16

Since the equation is true, our answer is correct.

Conclusion

In this article, we solved the equation that represents the quotient of a number and six is sixteen. We chose the correct equation and its solution from the given options and checked our answer to make sure it is true. The solution to the equation is g = 96.

Choosing the Correct Equation and Its Solution

Now that we have solved the equation, let's look at the given options and choose the correct one.

A. g6=16;g=616\frac{g}{6}=16 ; g=\frac{6}{16}

B. g6=16;g=96\frac{g}{6}=16 ; g=96

C. g6=16;g=6\frac{g}{6}=16 ; g=6

From the solution we obtained earlier, we can see that the correct equation and its solution is option B.

Why Option A is Incorrect

Option A is incorrect because it states that g = 616\frac{6}{16}, which is not the solution we obtained earlier. The solution we obtained was g = 96, not 616\frac{6}{16}.

Why Option C is Incorrect

Option C is incorrect because it states that g = 6, which is not the solution we obtained earlier. The solution we obtained was g = 96, not 6.

Why Option B is Correct

Option B is correct because it states that g = 96, which is the solution we obtained earlier. This option correctly represents the equation and its solution.

Conclusion

Introduction

In our previous article, we solved the equation that represents the quotient of a number and six is sixteen. We chose the correct equation and its solution from the given options and checked our answer to make sure it is true. In this article, we will answer some frequently asked questions related to the equation and its solution.

Q: What is the equation that represents the quotient of a number and six is sixteen?

A: The equation is given as:

g6=16\frac{g}{6}=16

This equation states that the quotient of a number (g) and six is equal to sixteen.

Q: How do I solve the equation?

A: To solve the equation, we can multiply both sides of the equation by 6, which is the denominator of the fraction. This will cancel out the 6 in the denominator and leave us with g alone.

g6×6=16×6\frac{g}{6} \times 6 = 16 \times 6

g=96g = 96

Q: Why is option A incorrect?

A: Option A is incorrect because it states that g = 616\frac{6}{16}, which is not the solution we obtained earlier. The solution we obtained was g = 96, not 616\frac{6}{16}.

Q: Why is option C incorrect?

A: Option C is incorrect because it states that g = 6, which is not the solution we obtained earlier. The solution we obtained was g = 96, not 6.

Q: Why is option B correct?

A: Option B is correct because it states that g = 96, which is the solution we obtained earlier. This option correctly represents the equation and its solution.

Q: Can I use a calculator to solve the equation?

A: Yes, you can use a calculator to solve the equation. Simply enter the equation into the calculator and press the "solve" button. The calculator will give you the solution, which is g = 96.

Q: Can I use a graphing calculator to solve the equation?

A: Yes, you can use a graphing calculator to solve the equation. Simply enter the equation into the calculator and press the "graph" button. The calculator will give you a graph of the equation, and you can use the graph to find the solution.

Q: Can I use a computer program to solve the equation?

A: Yes, you can use a computer program to solve the equation. Simply enter the equation into the program and press the "solve" button. The program will give you the solution, which is g = 96.

Conclusion

In this article, we answered some frequently asked questions related to the equation and its solution. We explained how to solve the equation, why option A and option C are incorrect, and why option B is correct. We also discussed how to use a calculator, graphing calculator, and computer program to solve the equation.

Additional Resources

If you have any additional questions or need further clarification on the equation and its solution, please refer to the following resources:

Final Thoughts

Solving equations is an essential skill in mathematics, and it requires practice and patience. In this article, we solved the equation that represents the quotient of a number and six is sixteen. We chose the correct equation and its solution from the given options and checked our answer to make sure it is true. We hope that this article has been helpful in understanding the equation and its solution.