Question
Write the number 0.5 in the form a/b, using integers, to show that it is a rational number.
Answers
GPT-4o mini
The number 0.5 can be expressed as a fraction of two integers. Specifically, it can be written as:
\[
0.5 = \frac{5}{10}
\]
In this case, \( a = 5 \) and \( b = 10 \), both of which are integers.
Additionally, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (which is 5):
\[
\frac{5}{10} = \frac{1}{2}
\]
Thus, 0.5 can be represented as \(\frac{1}{2}\), confirming that it is a rational number, as it can be expressed in the form \(\frac{a}{b}\) where both \(a\) and \(b\) are integers and \(b\) is not zero.
\[
0.5 = \frac{5}{10}
\]
In this case, \( a = 5 \) and \( b = 10 \), both of which are integers.
Additionally, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (which is 5):
\[
\frac{5}{10} = \frac{1}{2}
\]
Thus, 0.5 can be represented as \(\frac{1}{2}\), confirming that it is a rational number, as it can be expressed in the form \(\frac{a}{b}\) where both \(a\) and \(b\) are integers and \(b\) is not zero.