Question

a)\(\dfrac{7}{13}\)x\(\dfrac{7}{15}\)-\(\dfrac{5}{12}\)x\(\dfrac{21}{39}\)+\(\dfrac{49}{91}\)x\(\dfrac{8}{15}\)

b)(\(\dfrac{12}{199}\)+\(\dfrac{23}{200}\)-\(\dfrac{34}{201}\))x(\(\dfrac{1}{2}\)-\(\dfrac{1}{3}\)-\(\dfrac{1}{6}\))

Answer 1

a) \(\dfrac{7}{13}\)\(\times\)\(\dfrac{7}{15}\)-\(\dfrac{5}{12}\)\(\times\)\(\dfrac{21}{39}+\dfrac{49}{91}\)\(\times\)\(\dfrac{8}{15}\)

= \(\dfrac{7}{13}\)\(\times\)\(\dfrac{7}{15}\)-\(\dfrac{5}{12}\times\dfrac{7}{13}+\dfrac{7}{13}\times\dfrac{8}{15}\)

= \(\dfrac{7}{13}\left(\dfrac{7}{15}-\dfrac{5}{12}+\dfrac{8}{15}\right)\)

= \(\dfrac{7}{13}\times\dfrac{7}{12}\)

= \(\dfrac{49}{156}\)

b) \(\left(\dfrac{12}{199}+\dfrac{23}{200}-\dfrac{34}{201}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)

= \(\left(\dfrac{12}{199}+\dfrac{23}{200}-\dfrac{34}{201}\right)\times0\)

= 0