Evaluate 13 + 6 Y {13+\dfrac{6}y} 13 + Y 6 ​ When Y = 6 {y=6} Y = 6

Introduction

In mathematics, evaluating expressions is a crucial skill that helps us solve problems and make calculations. When given an expression with a variable, we need to substitute the value of the variable to find the final result. In this article, we will evaluate the expression ${13+\dfrac{6}y}$ when ${y=6}$. We will break down the steps and provide a clear explanation of the process.

Understanding the Expression

The given expression is ${13+\dfrac{6}y}$. This expression consists of two parts: a constant term ${13}$ and a fraction ${\dfrac{6}y}$. The fraction has a numerator of ${6}$ and a denominator of ${y}$. To evaluate this expression, we need to substitute the value of ${y}$ and simplify the fraction.

Substituting the Value of ${y}$

We are given that ${y=6}$. To substitute this value into the expression, we replace ${y}$ with ${6}$ in the expression ${13+\dfrac{6}y}$. This gives us ${13+\dfrac{6}6}$.

Simplifying the Fraction

Now that we have substituted the value of ${y}$, we can simplify the fraction ${\dfrac{6}6}$. Since the numerator and denominator are the same, the fraction simplifies to ${1}$. Therefore, the expression becomes ${13+1}$.

Evaluating the Expression

Now that we have simplified the fraction, we can evaluate the expression ${13+1}$. This is a simple addition problem, and the result is ${14}$.

Conclusion

In this article, we evaluated the expression ${13+\dfrac{6}y}$ when ${y=6}$. We broke down the steps and provided a clear explanation of the process. By substituting the value of ${y}$ and simplifying the fraction, we were able to find the final result of ${14}$. This demonstrates the importance of following the order of operations and simplifying expressions to find the final result.

Frequently Asked Questions

• What is the value of ${y}$ in the expression ${13+\dfrac{6}y}$?
• How do we simplify the fraction ${\dfrac{6}6}$?
• What is the final result of the expression ${13+\dfrac{6}y}$ when ${y=6}$?

Answers

• The value of ${y}$ in the expression ${13+\dfrac{6}y}$ is ${6}$.
• We simplify the fraction ${\dfrac{6}6}$ by dividing the numerator and denominator by their greatest common divisor, which is ${6}$. This gives us ${1}$.
• The final result of the expression ${13+\dfrac{6}y}$ when ${y=6}$ is ${14}$.

Step-by-Step Solution

1. Substitute the value of ${y}$ into the expression ${13+\dfrac{6}y}$.
2. Simplify the fraction ${\dfrac{6}6}$ by dividing the numerator and denominator by their greatest common divisor.
3. Evaluate the expression ${13+1}$ by adding the two numbers together.

Example Problems

• Evaluate the expression ${25+\dfrac{9}x}$ when ${x=3}$.
• Simplify the fraction ${\dfrac{12}4}$.
• Evaluate the expression ${7+\dfrac{2}y}$ when ${y=5}$.

Solutions

• Evaluate the expression ${25+\dfrac{9}x}$ when ${x=3}$:
  1. Substitute the value of ${x}$ into the expression ${25+\dfrac{9}x}$.
  2. Simplify the fraction ${\dfrac{9}3}$ by dividing the numerator and denominator by their greatest common divisor.
  3. Evaluate the expression ${25+3}$ by adding the two numbers together.
  • The final result is ${28}$.
• Simplify the fraction ${\dfrac{12}4}$:
  1. Divide the numerator and denominator by their greatest common divisor, which is ${4}$.
  • The final result is ${3}$.
• Evaluate the expression ${7+\dfrac{2}y}$ when ${y=5}$:
  1. Substitute the value of ${y}$ into the expression ${7+\dfrac{2}y}$.
  2. Simplify the fraction ${\dfrac{2}5}$ by dividing the numerator and denominator by their greatest common divisor.
  3. Evaluate the expression ${7+\dfrac{2}5}$ by adding the two numbers together.
  • The final result is ${7.4}$.

Final Thoughts

Evaluating expressions is an essential skill in mathematics that helps us solve problems and make calculations. By following the order of operations and simplifying expressions, we can find the final result. In this article, we evaluated the expression ${13+\dfrac{6}y}$ when ${y=6}$ and found the final result of ${14}$. We also provided step-by-step solutions and example problems to help readers understand the process.

Introduction

Evaluating expressions is a crucial skill in mathematics that helps us solve problems and make calculations. In our previous article, we evaluated the expression ${13+\dfrac{6}y}$ when ${y=6}$ and found the final result of ${14}$. However, we understand that readers may have questions and concerns about evaluating expressions. In this article, we will address some of the most frequently asked questions about evaluating expressions.

Q&A

Q: What is the value of ${y}$ in the expression ${13+\dfrac{6}y}$?

A: The value of ${y}$ in the expression ${13+\dfrac{6}y}$ is ${6}$.

Q: How do we simplify the fraction ${\dfrac{6}6}$?

A: We simplify the fraction ${\dfrac{6}6}$ by dividing the numerator and denominator by their greatest common divisor, which is ${6}$. This gives us ${1}$.

Q: What is the final result of the expression ${13+\dfrac{6}y}$ when ${y=6}$?

A: The final result of the expression ${13+\dfrac{6}y}$ when ${y=6}$ is ${14}$.

Q: How do we evaluate the expression ${13+\dfrac{6}y}$ when ${y=6}$?

A: To evaluate the expression ${13+\dfrac{6}y}$ when ${y=6}$, we substitute the value of ${y}$ into the expression and simplify the fraction. Then, we add the two numbers together to find the final result.

Q: What is the order of operations when evaluating expressions?

A: The order of operations when evaluating expressions is:

1. Parentheses: Evaluate expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do we handle fractions when evaluating expressions?

A: When evaluating expressions with fractions, we need to simplify the fraction by dividing the numerator and denominator by their greatest common divisor. Then, we can add or subtract the fraction from the other numbers in the expression.

Q: What are some common mistakes to avoid when evaluating expressions?

A: Some common mistakes to avoid when evaluating expressions include:

• Not following the order of operations
• Not simplifying fractions
• Not substituting values into the expression correctly
• Not evaluating expressions inside parentheses correctly

Example Problems

• Evaluate the expression ${25+\dfrac{9}x}$ when ${x=3}$.
• Simplify the fraction ${\dfrac{12}4}$.
• Evaluate the expression ${7+\dfrac{2}y}$ when ${y=5}$.

Solutions

• Evaluate the expression ${25+\dfrac{9}x}$ when ${x=3}$:
  1. Substitute the value of ${x}$ into the expression ${25+\dfrac{9}x}$.
  2. Simplify the fraction ${\dfrac{9}3}$ by dividing the numerator and denominator by their greatest common divisor.
  3. Evaluate the expression ${25+3}$ by adding the two numbers together.
  • The final result is ${28}$.
• Simplify the fraction ${\dfrac{12}4}$:
  1. Divide the numerator and denominator by their greatest common divisor, which is ${4}$.
  • The final result is ${3}$.
• Evaluate the expression ${7+\dfrac{2}y}$ when ${y=5}$:
  1. Substitute the value of ${y}$ into the expression ${7+\dfrac{2}y}$.
  2. Simplify the fraction ${\dfrac{2}5}$ by dividing the numerator and denominator by their greatest common divisor.
  3. Evaluate the expression ${7+\dfrac{2}5}$ by adding the two numbers together.
  • The final result is ${7.4}$.

Final Thoughts

Evaluating expressions is an essential skill in mathematics that helps us solve problems and make calculations. By following the order of operations and simplifying expressions, we can find the final result. In this article, we addressed some of the most frequently asked questions about evaluating expressions and provided example problems and solutions to help readers understand the process.