9.3 Rational Equations 1. In each expression, what eancels, if anything? a. $$ \frac{8}{4+5} * 4 $$

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1. We start with the expression  
$$
\frac{8}{4+5} \times 4.
$$

2. First, simplify the sum in the denominator:  
$$
4 + 5 = 9.
$$  
Thus, the expression becomes  
$$
\frac{8}{9} \times 4.
$$

3. Write $$4$$ as $$\frac{4}{1}$$ so that the multiplication of fractions is clear:  
$$
\frac{8}{9} \times \frac{4}{1} = \frac{8 \times 4}{9 \times 1} = \frac{32}{9}.
$$

4. Next, look for common factors to cancel. The factors in the numerator are $$8$$ and $$4$$ (from $$8 \times 4$$), and the denominator is $$9$$. Since $$8$$ and $$9$$ have no common factors (other than 1) and $$4$$ and $$9$$ have no common factors, nothing cancels.

Therefore, nothing cancels in the given expression.
In the expression $$ \frac{8}{4+5} \times 4 $$, nothing cancels.

9.3 Rational Equations

In each expression, what eancels, if
anything?
a.

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9.3 Rational Equations In each expression, what eancels, if anything? a.