Solution Of 2/3 + 42 X 5%=
Introduction
In this article, we will delve into the world of mathematics and explore the solution to the equation 2/3 + 42 x 5%. This equation may seem simple at first glance, but it requires a thorough understanding of mathematical operations and their order of precedence. We will break down the equation step by step, using mathematical concepts and formulas to arrive at the final solution.
Understanding the Equation
The given equation is 2/3 + 42 x 5%. To solve this equation, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This is often remembered using the acronym PEMDAS.
Breaking Down the Equation
Let's break down the equation into smaller parts:
- 2/3: This is a fraction, where 2 is the numerator and 3 is the denominator.
- 42 x 5%: This is a multiplication operation, where 42 is the number being multiplied and 5% is the multiplier.
Solving the Fraction
To solve the fraction 2/3, we need to find its decimal equivalent. We can do this by dividing the numerator by the denominator:
2 ÷ 3 = 0.67
So, the fraction 2/3 is equal to 0.67.
Solving the Multiplication
Next, we need to solve the multiplication operation 42 x 5%. To do this, we need to convert the percentage to a decimal by dividing by 100:
5% ÷ 100 = 0.05
Now, we can multiply 42 by 0.05:
42 x 0.05 = 2.1
Adding the Results
Now that we have solved the fraction and the multiplication operation, we can add the results:
0.67 + 2.1 = 2.77
Conclusion
In this article, we have explored the solution to the equation 2/3 + 42 x 5%. We broke down the equation into smaller parts, solved the fraction and the multiplication operation, and then added the results. The final solution is 2.77. This equation may seem simple, but it requires a thorough understanding of mathematical operations and their order of precedence.
Real-World Applications
The equation 2/3 + 42 x 5% may seem like a simple mathematical exercise, but it has real-world applications in various fields, such as finance, engineering, and science. For example, in finance, this equation can be used to calculate interest rates or investment returns. In engineering, it can be used to calculate stress or strain on materials. In science, it can be used to calculate the concentration of a solution or the amount of a substance.
Tips and Tricks
When solving mathematical equations, it's essential to follow the order of operations and to break down the equation into smaller parts. This will help you to avoid errors and to arrive at the correct solution. Additionally, it's essential to understand the mathematical concepts and formulas used in the equation, such as fractions, decimals, and percentages.
Common Mistakes
When solving mathematical equations, there are several common mistakes that people make. These include:
- Not following the order of operations
- Not breaking down the equation into smaller parts
- Not understanding the mathematical concepts and formulas used in the equation
- Not checking the solution for errors
Conclusion
Q: What is the order of operations in mathematics?
A: The order of operations in mathematics is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is often remembered using the acronym PEMDAS, which stands for:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: How do I solve a fraction like 2/3?
A: To solve a fraction like 2/3, you need to divide the numerator (2) by the denominator (3). In this case, 2 ÷ 3 = 0.67.
Q: What is the difference between a percentage and a decimal?
A: A percentage is a way of expressing a value as a fraction of 100. For example, 5% is equal to 5/100, which is equal to 0.05. To convert a percentage to a decimal, simply divide by 100.
Q: How do I multiply a number by a percentage?
A: To multiply a number by a percentage, you need to convert the percentage to a decimal by dividing by 100, and then multiply the number by the decimal. For example, to multiply 42 by 5%, you would first convert 5% to a decimal by dividing by 100: 5% ÷ 100 = 0.05. Then, you would multiply 42 by 0.05: 42 x 0.05 = 2.1.
Q: What is the final solution to the equation 2/3 + 42 x 5%?
A: The final solution to the equation 2/3 + 42 x 5% is 2.77.
Q: Can I use a calculator to solve the equation 2/3 + 42 x 5%?
A: Yes, you can use a calculator to solve the equation 2/3 + 42 x 5%. Simply enter the equation into the calculator and follow the instructions to solve it.
Q: What are some real-world applications of the equation 2/3 + 42 x 5%?
A: The equation 2/3 + 42 x 5% has several real-world applications, including:
- Calculating interest rates or investment returns in finance
- Calculating stress or strain on materials in engineering
- Calculating the concentration of a solution or the amount of a substance in science
Q: What are some common mistakes to avoid when solving the equation 2/3 + 42 x 5%?
A: Some common mistakes to avoid when solving the equation 2/3 + 42 x 5% include:
- Not following the order of operations
- Not breaking down the equation into smaller parts
- Not understanding the mathematical concepts and formulas used in the equation
- Not checking the solution for errors
Q: Can I use the equation 2/3 + 42 x 5% to solve other mathematical problems?
A: Yes, you can use the equation 2/3 + 42 x 5% as a starting point to solve other mathematical problems. By modifying the equation or using similar mathematical concepts and formulas, you can solve a wide range of mathematical problems.