Divide. Simplify your answer. 13km^2/9m ÷ 9km^2 ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (13km^2/9m) ÷ (9km^2) becomes (13km^2/9m) × (1/9km^2).Simplify units and terms: Before multiplying, simplify the units and terms where possible. Notice that km^2 in the numerator and km^2 in the denominator will cancel out. Also, the km in the denominator of the first fraction will cancel out one km from km^2 in the numerator, leaving us with k in the numerator. So, (13k/9m) × (1/9).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (13k/9m) × (1/9) = (13k × 1) / (9m × 9) = 13k / 81m.Simplify fraction: Simplify the fraction if possible. In this case, there are no common factors between 13k and 81m, so the fraction is already in its simplest form.

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

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\frac{13\,\text{km}^2}{9\,\text{m}} \div 9\,\text{km}^2

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, $(\frac{13km^2}{9m}) \div (9km^2)$ becomes $(\frac{13km^2}{9m}) \times (\frac{1}{9km^2})$ .
Simplify units and terms: Before multiplying, simplify the units and terms where possible. Notice that $\text{km}^2$ in the numerator and $\text{km}^2$ in the denominator will cancel out. Also, the $\text{km}$ in the denominator of the first fraction will cancel out one $\text{km}$ from $\text{km}^2$ in the numerator, leaving us with $k$ in the numerator. So, $(13k/9m) \times (1/9)$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(\frac{13k}{9m}) \times (\frac{1}{9}) = (\frac{13k \times 1}{9m \times 9}) = \frac{13k}{81m}$ .
Simplify fraction: Simplify the fraction if possible. In this case, there are no common factors between $13k$ and $81m$ , so the fraction is already in its simplest form.