Adding and Subtracting Algebraic Fractions - Questions

Question 1
111076

\(\dfrac{2x+1}{3}+\dfrac{x+2}{5}=\)

\(\dfrac{13x+11}{15}\)

Question 2
111075

\(\dfrac{x}{yz}+\dfrac{y}{xz}+\dfrac{z}{xy}=\)

\(\dfrac{x^2+y^2+z^2}{xyz}\)

Question 3
111077

\(\dfrac{1-2x}{6}-\dfrac{3x+1}{9}=\)

\(\dfrac{1-12x}{18}\)

Question 4
111073

\(\dfrac{3x}{5}+\dfrac{x}{10}=\)

\(\dfrac{7x}{10}\)

Question 5
111074

\(\dfrac{2}{3x}-\dfrac{1}{x}=\)

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

Question 6
32888

Simplify \(\dfrac{4x}{9}-\dfrac{3x}{11}\)

\(\dfrac{17x}{99}\)

Question 7
32889

Simplify \(\dfrac{1}{x}+\dfrac{1}{x+1}\)

\(\dfrac{2x+1}{x(x+1)}\)

Question 8
32890

Simplify \(\dfrac{1}{xy}+\dfrac{1}{xz}+\dfrac{1}{yz}\)

\(\dfrac{x+y+z}{xyz}\)

Question 9
32891

Simplify \(\dfrac{4x+3}{2}-\dfrac{2x+1}{3}\)

\(\dfrac{{8x + 7}}{6}\)

Question 10
32892

Simplify \(\dfrac{{5x - 1}}{3} - \dfrac{{4x + 3}}{5}\)

\(\dfrac{{13x - 14}}{{15}}\)