Question
Because on that one it doesn't prove that the sum of 3/4 and 10 is irrational show your work and in one to two sentences explain why the sum is an irrational number
Answers
GPT-4o mini
To find the sum of \( \frac{3}{4} \) and \( 10 \):
1. Convert \( 10 \) to a fraction with a common denominator: \( 10 = \frac{10 \times 4}{1 \times 4} = \frac{40}{4} \).
2. Now, add \( \frac{3}{4} + \frac{40}{4} = \frac{3 + 40}{4} = \frac{43}{4} \).
The sum \( \frac{43}{4} \) is a rational number, not an irrational one, as it can be expressed as a fraction of two integers.
In summary, the statement "the sum is an irrational number" is incorrect; \( \frac{3}{4} + 10 = \frac{43}{4} \), which is rational because it can be represented as the fraction of two integers.
1. Convert \( 10 \) to a fraction with a common denominator: \( 10 = \frac{10 \times 4}{1 \times 4} = \frac{40}{4} \).
2. Now, add \( \frac{3}{4} + \frac{40}{4} = \frac{3 + 40}{4} = \frac{43}{4} \).
The sum \( \frac{43}{4} \) is a rational number, not an irrational one, as it can be expressed as a fraction of two integers.
In summary, the statement "the sum is an irrational number" is incorrect; \( \frac{3}{4} + 10 = \frac{43}{4} \), which is rational because it can be represented as the fraction of two integers.