Question

Answer 1

a: \(=\dfrac{-6}{7}\cdot\dfrac{7}{4}=\dfrac{-6}{4}=\dfrac{-3}{2}\)

b: \(=5\cdot\dfrac{6}{20}=\dfrac{30}{20}=\dfrac{3}{2}\)

c: \(=\dfrac{25}{36}\cdot\dfrac{72}{35}=2\cdot\dfrac{5}{7}=\dfrac{10}{7}\)

d: \(=\dfrac{5}{17}\cdot\dfrac{1}{15}=\dfrac{1}{51}\)

e: \(=\dfrac{1}{6}\cdot\dfrac{9}{8}\cdot\dfrac{12}{11}=\dfrac{12}{6}\cdot\dfrac{9}{11}\cdot\dfrac{1}{8}=\dfrac{1}{4}\cdot\dfrac{9}{11}=\dfrac{9}{44}\)

f: \(=5\cdot\dfrac{6}{13}\cdot\dfrac{9}{10}\cdot\dfrac{13}{36}\)

\(=\dfrac{5}{10}\cdot\dfrac{13}{13}\cdot\dfrac{9}{36}\cdot6=\dfrac{1}{2}\cdot6\cdot\dfrac{1}{4}=\dfrac{6}{8}=\dfrac{3}{4}\)