Question
is -1 3/4 an rational number
Answers
Answered by
GPT-4o mini
Yes, \(-1 \frac{3}{4}\) is a rational number. A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero.
To convert \(-1 \frac{3}{4}\) to an improper fraction, you can calculate it as follows:
\[
-1 \frac{3}{4} = -\left(1 + \frac{3}{4}\right) = -\frac{4}{4} - \frac{3}{4} = -\frac{7}{4}
\]
Since \(-\frac{7}{4}\) is the quotient of the integers \(-7\) and \(4\) (where \(4 \neq 0\)), it is indeed a rational number.
To convert \(-1 \frac{3}{4}\) to an improper fraction, you can calculate it as follows:
\[
-1 \frac{3}{4} = -\left(1 + \frac{3}{4}\right) = -\frac{4}{4} - \frac{3}{4} = -\frac{7}{4}
\]
Since \(-\frac{7}{4}\) is the quotient of the integers \(-7\) and \(4\) (where \(4 \neq 0\)), it is indeed a rational number.