To evaluate and simplify the expression [tex]\(\frac{20a - 1}{b}\)[/tex] when [tex]\(a = 2\)[/tex] and [tex]\(b = 13\)[/tex], follow these steps:
1. Substitute the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex] into the expression:
[tex]\[
a = 2 \quad \text{and} \quad b = 13
\][/tex]
So, the expression becomes:
[tex]\[
\frac{20 \cdot 2 - 1}{13}
\][/tex]
2. Multiply [tex]\(20\)[/tex] by [tex]\(2\)[/tex]:
[tex]\[
20 \cdot 2 = 40
\][/tex]
3. Subtract [tex]\(1\)[/tex] from [tex]\(40\)[/tex]:
[tex]\[
40 - 1 = 39
\][/tex]
4. Now the expression is simplified to:
[tex]\[
\frac{39}{13}
\][/tex]
5. Divide [tex]\(39\)[/tex] by [tex]\(13\)[/tex]:
[tex]\[
\frac{39}{13} = 3
\][/tex]
Therefore, the value of the expression [tex]\(\frac{20a - 1}{b}\)[/tex] when [tex]\(a = 2\)[/tex] and [tex]\(b = 13\)[/tex] is [tex]\(3.0\)[/tex].
