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• Rational expressions
• Operations with Rational Expressions
• Dividing Rational Expressions

# Dividing Rational Expressions

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•  Question 1: 1 pts Divide and simplify. $$\dfrac{3}{18x} \div \dfrac{5}{9x}$$
 $\dfrac{10}{7}$ $\dfrac{3}{10}$ $\dfrac{3}{7}$ $\dfrac{3}{2}$
•  Question 2: 1 pts Divide and simplify. $$\dfrac{10n}{9} \div \dfrac{13n^{2}}{27}$$
 $\dfrac{13n}{3}$ $\dfrac{3}{13n}$ $\dfrac{30}{13n}$ $\dfrac{13n}{30}$
•  Question 3: 1 pts $$\dfrac{7z^{3}}{3} \div \dfrac{5z^{3}}{3}= \dfrac{3}{7z^{3}} \cdot \dfrac{5z^{3}}{3}$$
•  Question 4: 1 pts Divide and simplify. $$\dfrac{12}{7}\div \dfrac{4}{11r}$$
•  Question 5: 2 pts Divide and simplify. $$\dfrac{4n}{n-6}\div \dfrac{4n}{8n-48}$$
 $\dfrac{1}{8}$ $8$ $-8$ $-\dfrac{1}{8}$
•  Question 6: 2 pts Divide and simplify. $$\dfrac{6}{28w+4} \div \dfrac{6}{35w+5}$$
•  Question 7: 2 pts Divide and simplify. $$\dfrac{49x+21}{6x} \div \dfrac{42x+18}{6}$$
 $\dfrac{6x}{7}$ $\dfrac{7}{6x}$ $\dfrac{6}{7x}$ $\dfrac{7x}{6}$
•  Question 8: 2 pts Divide and simplify. $$\dfrac{1}{2s} \div \dfrac{8s}{2s^{2}+16s}$$
 $\dfrac{s+8}{8s}$ $\dfrac{s-8}{8s}$ $\dfrac{8s}{8+s}$ $\dfrac{8s}{8-s}$
•  Question 9: 3 pts Divide and simplify. $$\dfrac{5xy}{7x^{3}} \div \dfrac{10y^{3}}{14x^{2}}$$
 $\dfrac{1}{y}$ $\dfrac{x}{y}$ $\dfrac{1}{y^{2}}$ $\dfrac{1}{y}$
•  Question 10: 3 pts Divide and simplify. $$\dfrac{8(10-x)}{(x+1)(x-10)} \div \dfrac{x-8}{(x-8)(x+1)}$$
 $8$ $-8$ $\dfrac{1}{8}$ $-\dfrac{1}{8}$
•  Question 11: 3 pts Divide and simplify. $$\dfrac{2x^{2}+4xy}{9x-18y} \div \dfrac{4x+8y}{3x-6y}$$
•  Question 12: 3 pts Divide and simplify. $$\dfrac{10x^{2}-28x+16}{2x-4} \div \dfrac{25x^{2}-25x+4}{5x^{2}-41x+8}$$