Question

Answer 1

a: \(=\dfrac{5\cdot6\cdot7\cdot8\cdot9\cdot10}{11\cdot7\cdot8\cdot9\cdot10}=\dfrac{30}{11}\)

b: \(=\dfrac{3\cdot\left(145+55\right)}{6\left(215+85\right)}=\dfrac{1}{2}\cdot\dfrac{2}{3}=\dfrac{1}{3}\)

c: \(=\dfrac{7\cdot3\cdot9\cdot5}{7\cdot3\cdot9\cdot5}=1\)

d: \(=\dfrac{2\cdot6\cdot11}{2^2\cdot6\cdot3\cdot11}=\dfrac{1}{2\cdot3}=\dfrac{1}{6}\)

e: \(=\dfrac{30}{70}=\dfrac{3}{7}\)

g: \(=\dfrac{25\left(8+9+1-5\right)}{195\cdot2}=\dfrac{25\cdot13}{13\cdot15\cdot2}=\dfrac{25}{30}=\dfrac{5}{6}\)

Answer 2

a \(\dfrac{30}{11}\)

b \(\dfrac{1}{3}\)

c 1

d \(\dfrac{1}{6}\)

e \(\dfrac{3}{7}\) 

g \(\dfrac{5}{6}\)