Multiplying and Dividing Algebraic Fractions - Questions

Question 1
32896

Simplify \({\dfrac{3{x}+6}{8}}\div{\dfrac{5{x}+10}{6}}\)

\(\dfrac{9}{20}\)

Question 2
32894

Simplify \({\dfrac{3{x}}{2{x}-6}}\times{\dfrac{{x}^{2}-3{x}}{6}}\)

\(\dfrac{x^2}{4}\)

Question 3
32895

Simplify \( {\dfrac{3{x}-15}{{x}^{2}+3{x}}}\times{\dfrac{4{x}}{5-{x}}} \)

\(-\dfrac{12}{x+3}\)

Question 4
32897

Simplify \( {\dfrac{{x}^{2}-2{x}}{4{x}}}\div{\dfrac{6{x}-12}{8}} \)

\(\dfrac{1}{3}\)

Question 5
32898

Simplify \( {\dfrac{4{a}+12}{5{a}+15}}\div{\dfrac{8{a}^{2}}{{a}^{2}+3{a}}} \)

\(\dfrac{a+3}{10a}\)

Question 6
111083

\(\dfrac{8-4a}{2a+10} \div \dfrac{a^2-2a}{a+5}=\)

\(-\dfrac{2}{a}\)

Question 7
111081

\(\dfrac{a-5}{a^2+a} \times \dfrac{4a+4}{3a-15}=\)

\(\dfrac{4}{3a}\)

Question 8
111082

\(\dfrac{6m-2}{m+2} \div \dfrac{9m-3}{2m^2+4}=\)

\(\dfrac{4m}{3}\)

Question 9
111080

\(\dfrac{x^2+3x}{x-2} \times \dfrac{6}{2x+6}=\)

\(\dfrac{3x}{x-2}\)

Question 10
111079

\(\dfrac{4x-28}{x} \times \dfrac{5}{x-7}=\)

\(\dfrac{20}{x}\)