Question

a) \( \frac{2}{5} \times \frac{3}{4} + \frac{6}{15} \div \frac{4}{9} \times 5 \)

b) \( \frac{25}{12} \times \frac{18}{35} \times \frac{63}{45} \)

Answer 1

a: \(\dfrac{2}{5}\times\dfrac{3}{4}+\dfrac{6}{15}:\dfrac{4}{9}\times5\)

\(=\dfrac{2}{5}\times\dfrac{3}{4}+\dfrac{2}{5}\times\dfrac{9}{4}\times5\)

\(=\dfrac{2}{5}\times\left(\dfrac{3}{4}+\dfrac{45}{4}\right)=\dfrac{2}{5}\times12=\dfrac{24}{5}\)

b: \(\dfrac{25}{12}\times\dfrac{18}{35}\times\dfrac{63}{45}\)

\(=\dfrac{25}{35}\times\dfrac{18}{12}\times\dfrac{63}{45}\)

\(=\dfrac{5}{7}\times\dfrac{3}{2}\times\dfrac{9}{5}=\dfrac{27}{14}\)