devyy Dividing 1 by 3 gives us a fraction that can be expressed as follows: the numerator is 1 and the denominator is 3. Therefore, the fraction representing this division is 1/3. When we write this in fractional form, it signifies that we take one whole unit and divide it into three equal parts. Each part, … Read more
To convert the improper fraction 15/4 into a mixed number, follow these simple steps: Divide the numerator by the denominator: Start by dividing 15 by 4. When you do this, 4 goes into 15 three times (because 4 x 3 = 12), leaving a remainder. Calculate the remainder: After multiplying, subtract 12 (the total from … Read more
The mathematical constant e is approximately equal to 2.71828. It is the base of the natural logarithm and is widely used in various fields of mathematics, particularly in calculus and complex analysis. When we calculate e raised to the power of 1, expressed as e1, we are simply evaluating the expression: e1 = e This … Read more
To convert minutes into decimal, you need to express the minutes as a fraction of an hour. Since there are 60 minutes in an hour, you can use the following formula: Decimal = Minutes ÷ 60 In this case, we are converting 20 minutes: Decimal = 20 ÷ 60 Decimal = 0.3333 (approximately) So, 20 … Read more
To express 4 divided by 9 as a fraction, you can simply write it as: 4/9 This shows that 4 is the numerator (the top part of the fraction) and 9 is the denominator (the bottom part of the fraction). Dividing 4 by 9 means that you are breaking the number 4 into 9 equal … Read more
To convert the mixed number 3 7/8 into a decimal, we need to follow a couple of straightforward steps: Convert the fraction to a decimal: The fraction 7/8 can be converted to a decimal. To do this, divide the numerator (7) by the denominator (8). Doing the division, we get: 7 ÷ 8 = 0.875 … Read more
The term “10 of 20” can be interpreted as calculating a fraction of a given number. In this case, it represents the fraction 10/20. To simplify this, we can divide both the numerator (10) and the denominator (20) by their greatest common divisor, which is 10. So when we simplify it, we get: 10 ÷ … Read more
To convert the expression 2/5/8 into a decimal, we must first understand how to interpret this notation. Generally, 2/5/8 can be interpreted as follows: First, we convert 2 to decimal form, which is simply 2.0. Next, we evaluate the fraction formed by 5 divided by 8. To calculate 5 divided by 8: When you perform … Read more
Understanding the Integration of sin(2x) Integrating the function sin(2x) involves applying basic integration techniques from calculus. The goal is to find the antiderivative or integral of the function with respect to x. Steps to Integrate sin(2x) Identify the Integral: You want to compute ∫ sin(2x) \, dx. Use Substitution: To simplify the process, we can … Read more
Understanding the Concept of Powers Powers are a fundamental concept in mathematics, and they help us express repeated multiplication in a more concise way. When we say ‘2 to the 10th power,’ we’re essentially talking about multiplying the number 2 by itself a total of 10 times. Calculating 2 to the 10th Power To calculate … Read more