Question

question 8
2 pts
simplify each expression.
(6n)/9 ÷ (9n²)/9
numerator/denominator = /

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{6n}{9} \div \frac{9n^2}{9}=\frac{6n}{9}\times\frac{9}{9n^2}\)

Step2: Cancel common factors

The 9 in the numerator of the second fraction and the 9 in the denominator of the first fraction cancel out. Also, we can cancel one \(n\) from the numerator and denominator. So we have \(\frac{6n\times9}{9\times9n^2}=\frac{6}{9n}\) (after canceling 9 and one \(n\))

Step3: Simplify the fraction

We can further simplify \(\frac{6}{9n}\) by dividing numerator and denominator by 3, getting \(\frac{2}{3n}\)

Answer:

2 / 3n