Can You Prove This Using Fraction Division?

MHB
Thread starter alexliu00
Start date Nov 4, 2020

In summary, when trying to prove a statement to be true, scientists use the scientific method which involves making observations, forming a hypothesis, conducting experiments, and analyzing data to come to a conclusion. However, even when something is proven to be true, there is always a possibility of new evidence or discoveries that may change our understanding of it. A hypothesis can never be proven with absolute certainty, but a well-supported and rigorously tested hypothesis can be considered to be strongly supported within the scientific community. Similarly, a scientific theory can never be proven with absolute certainty, but it is a well-tested and widely accepted explanation for a phenomenon. In science, the goal is not to prove something, but rather to gather evidence and come to a conclusion that is

Nov 4, 2020

alexliu00

can someone prove this and show the process in detail? Many thanks :)

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Nov 4, 2020

Opalg

Gold Member

MHB

Hint: divide top and bottom of that fraction by $e^{1/x}$.

1. What is fraction division?

Fraction division is a mathematical operation that involves dividing one fraction by another. It is represented by the symbol ÷ or / and is the inverse of multiplication.

2. How do you divide fractions?

To divide fractions, you need to first invert the second fraction (also known as the reciprocal) and then multiply it by the first fraction. For example, to divide 1/2 by 1/3, you would invert 1/3 to get 3/1 and then multiply it by 1/2, resulting in 3/2 or 1 1/2.

3. Can you use fraction division to simplify fractions?

Yes, you can use fraction division to simplify fractions. Simply divide the numerator and denominator by their greatest common factor (GCF) to reduce the fraction to its simplest form.

4. What are some real-life applications of fraction division?

Fraction division is commonly used in cooking and baking to adjust recipes to make more or less servings. It is also used in measurements, such as converting between different units of measurement. In finance, fraction division is used to calculate interest rates and discounts.

5. How can you prove a fraction division problem is correct?

To prove a fraction division problem is correct, you can use the inverse operation of multiplication to check your answer. Simply multiply the quotient by the divisor and the result should be equal to the dividend. For example, if you divide 1/2 by 1/4 and get 2 as the quotient, you can multiply 2 by 1/4 to get 1/2, which is the dividend. This shows that the fraction division was done correctly.