Question

expressions-polynomials-linear expression
(1 point)
evaluate the algebraic expression $8a + b$ for $a = \frac{2}{9}$ and $b = \frac{4}{3}$.
answer:
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Explanation:

Step1: Substitute \(a = \frac{2}{9}\) and \(b=\frac{4}{3}\) into the expression \(8a + b\)

We get \(8\times\frac{2}{9}+\frac{4}{3}\)

Step2: Calculate \(8\times\frac{2}{9}\)

\(8\times\frac{2}{9}=\frac{16}{9}\)

Step3: Find a common denominator for \(\frac{16}{9}\) and \(\frac{4}{3}\)

The common denominator of 9 and 3 is 9. So \(\frac{4}{3}=\frac{4\times3}{3\times3}=\frac{12}{9}\)

Step4: Add the two fractions

\(\frac{16}{9}+\frac{12}{9}=\frac{16 + 12}{9}=\frac{28}{9}\)

Answer:

\(\frac{28}{9}\)