Question

Which expression is equivalent to : (2n - 3)?

Answer 1

Answer: Choice C) $\frac{8}{9}n - 1\frac{1}{3}$

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Explanation:

We multiply the outer term 4/9 with each term inside

• (4/9) times (2n) = (4*2n)/9 = (8n)/9 = (8/9)n
• (4/9) times (-3) = (4*(-3))/9 = -12/9 = -4/3

The improper fraction 4/3 converts to the mixed number 1 & 1/3

4/3 = (3+1)/3 = 3/3 + 1/3 = 1 + 1/3 = 1 & 1/3

So overall, we can say $\frac{4}{9}(2n-3) = \frac{8}{9}n - 1\frac{1}{3}$

This is equivalent to saying $\frac{4}{9}(2n-3) = \frac{8}{9}n - \frac{4}{3}$