Question

(1/6 + 1/10 + 1/15) :(1/6 +1/10-1/15)

(1/2-1/3+1/4-1/5):(1/4-1/6)

Answer 1

a: \(\left(\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{15}\right):\left(\dfrac{1}{6}+\dfrac{1}{10}-\dfrac{1}{15}\right)\)

\(=\dfrac{5+3+2}{30}:\dfrac{5+3-2}{30}\)

\(=\dfrac{10}{30}\cdot\dfrac{30}{6}\)

\(=\dfrac{10}{6}=\dfrac{5}{3}\)

b: \(\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}-\dfrac{1}{5}\right):\left(\dfrac{1}{4}-\dfrac{1}{6}\right)\)

\(=\dfrac{30-20+15-12}{60}:\dfrac{3-2}{12}\)

\(=\dfrac{13}{60}\cdot\dfrac{12}{1}=\dfrac{13}{5}\)