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------------------------------------------------ Solve the equation \(\frac{n}{9} = \frac{38}{45}\) and round the value of \(n\) to the nearest hundredth.

Answer :

Final answer:

The equation (n/9) = (38/45) when solved for n and rounded to the nearest hundredth gives a value of 7.6.

Explanation:

To solve the equation (n/9) = (38/45) for the value of n, you need to isolate n. That can be done by cross-multiplying. This means you multiply the denominator of the left side by the numerator of the right side and vice versa. Thus, you will get:

9 * (38/45) = n

To solve for n, you can simply cancel out the nines as they are common to both sides of the equation, leaving:

n = 38/5

When you calculate 38/5, you get a result of 7.6. Rounding to the nearest hundredth, the value of n would remain the same, which is 7.6.

Learn more about Cross-multiplication here:

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