Question

\(\dfrac{2}{3}:\dfrac{7}{5}:\dfrac{x}{9}=\dfrac{2}{7}:\dfrac{3}{5}:\dfrac{10}{9}\)

Answer 1

\(\dfrac{2}{3}:\dfrac{7}{5}:\dfrac{x}{9}=\dfrac{2}{7}x\dfrac{3}{5}x\dfrac{9}{10}\)

\(\dfrac{2}{3}:\dfrac{7}{5}:\dfrac{x}{9}=\dfrac{3}{7}\)

\(\dfrac{10}{21}:\dfrac{x}{9}=\dfrac{3}{7}\)

\(\dfrac{x}{9}=\dfrac{10}{21}:\dfrac{3}{7}\)

\(\dfrac{x}{9}=\dfrac{10}{9}\)

\(=>x=10\)

Answer 2

Answer 3

10

Answer 4

`2/3:7/5:x/9=2/7:3/5:10/9`

`2/3xx5/7xx9/x=2/7xx5/3xx9/10`

`[2xx5xx9]/[3xx7xx x]=[2xx5xx9]/[7xx3xx10]`

`30/[7 xx x]=3/7`

`3 xx7 xx x=30xx7`

`21 xx x=210`

`x=210:21=10`