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To convert the fraction 9/4 into a decimal, you simply divide the numerator (9) by the denominator (4). Performing this calculation: 9 ÷ 4 = 2.25 So, the decimal equivalent of 9/4 is 2.25. Now, if you’re asking about the mixed number 2 25, it’s important to note that mixed numbers can also be converted … Read more

To express 10 raised to the power of 2, you would write it as 102. This notation means that you multiply 10 by itself: 10 x 10 The calculation is straightforward: 10 x 10 = 100 Thus, 102 = 100. This concept is part of exponentiation, where a number (the base) is raised to the … Read more

Understanding the Mile to Kilometer Conversion If you’ve ever found yourself wondering how many kilometers are equivalent to a mile, you’re not alone! This is a common question, especially for travelers and fitness enthusiasts navigating different measurement systems. The Conversion Rate One mile is equal to approximately 1.60934 kilometers. This means that if you’re converting … Read more

To find the derivative of the function e^(2x), we will use the chain rule, which is a fundamental technique in calculus for differentiating composite functions. First, recall that the derivative of the exponential function e^u, where u is a function of x, is given by: u’ * e^u In our case, u = 2x. Therefore, … Read more

The fraction 4/7 can be converted to a decimal by performing the division of the numerator by the denominator. To calculate this, you would divide 4 by 7. When you perform the division, you find that: 4 ÷ 7 = 0.571428571428… This result is a repeating decimal, which means that the digits “571428” repeat indefinitely. … Read more

To calculate 3 raised to the power of 6, we need to multiply 3 by itself a total of six times. This can be expressed mathematically as: 36 = 3 × 3 × 3 × 3 × 3 × 3 Now, let’s break it down step by step: First multiplication: 3 × 3 = 9 … Read more

Adding a fraction to a whole number is quite straightforward! Let’s break it down step by step. 1. **Understand the Components**: In this process, you have two parts: a whole number (let’s say 3) and a fraction (for example, 1/4). The whole number is a complete unit, while the fraction represents a part of a … Read more

To express the division of 3 by 5 as a fraction, you simply represent it using the fraction form. When you divide 3 by 5, you are determining how many times 5 fits into 3, which it doesn’t exactly, since 3 is less than 5. In fraction form, this division is written as: 3/5 This … Read more

To convert a fraction like 4 out of 5 into a percentage, you can follow a simple process. First, you divide the numerator (the top number) by the denominator (the bottom number). In this case, you would divide 4 by 5. Here’s the calculation: 4 ÷ 5 = 0.8 Next, to convert the decimal to … Read more

To find 20 percent of 150, you can use a simple mathematical formula. Percentages are calculated by taking a part of a whole and expressing it as a fraction of one hundred. In this case, we want to find out how much 20 percent of the number 150 is. Here’s how to do the calculation … Read more