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To determine what fraction of an hour is represented by 40 minutes, we first need to understand the relationship between minutes and hours. An hour consists of 60 minutes. To express 40 minutes as a fraction of an hour, we use the following calculation: Fraction of an hour = (Number of minutes) / (Total minutes … Read more

To find 40% of 10, you can use a simple calculation. First, convert the percentage into a decimal: 40% is equivalent to 0.40. Then, multiply this decimal by the number you want to find the percentage of, which in this case is 10. Here’s the calculation: 0.40 x 10 = 4. So, 40% of 10 … Read more

To express the whole number 45 as a fraction, we can consider it as 45 over 1. This means that 45 is equivalent to the fraction 45/1. Fractions essentially represent a division of numbers, and when a whole number is divided by 1, it retains its value. Therefore, the simplest fraction that represents 45 is: … Read more

The difference between rational and irrational numbers fundamentally lies in their definitions and characteristics. Rational Numbers: These are numbers that can be expressed as a fraction or quotient of two integers, where the denominator is not zero. In other words, if a number can be written in the form a/b, where a and b are … Read more

To convert the fraction 2/10 into decimal form, you simply divide the numerator (2) by the denominator (10). This operation can be done using long division or a calculator. When you divide 2 by 10, you get: 2 ÷ 10 = 0.2 Thus, 2/10 as a decimal is 0.2. In everyday terms, this means that … Read more

To convert the mixed number 5 3/8 into a decimal, you can follow these simple steps: First, convert the mixed number into an improper fraction. In the case of 5 3/8, you start by multiplying the whole number 5 by the denominator 8: 5 × 8 = 40 Next, add the numerator 3 to this … Read more

To find 25 percent of 200, you can follow a simple mathematical formula. First, we understand that percent means ‘per hundred.’ Therefore, 25 percent can be represented as a fraction: 25/100. To calculate 25 percent of 200, you multiply 200 by 25/100: 200 * (25 / 100) = 200 * 0.25 This gives you: 200 … Read more

Expressing the decimal 0.08 as a fraction involves a few simple steps. Here’s how you can do it: Identify the decimal: The number we are working with is 0.08. Convert the decimal to a fraction: Since 0.08 means 8 hundredths, we can write this as: 0.08 = 8/100 Simplify the fraction: To simplify the fraction, … Read more

Understanding 8 to the Power of 3 To express 8 raised to the power of 3, you can write it in mathematical notation as: 83 This notation signifies that 8 is multiplied by itself a total of three times. Breaking It Down Let’s look at what this means: First multiplication: 8 × 8 = 64 … Read more