Question

3/4 =1/3x ( a- 2/5): 7/5

Answer 1

\(\dfrac{3}{4}=\dfrac{1}{3}\times\left(a-\dfrac{2}{5}\right):\dfrac{7}{5}\)

\(\left(a-\dfrac{2}{5}\right):\dfrac{7}{5}=\dfrac{3}{4}:\dfrac{1}{3}\)

\(\left(a-\dfrac{2}{5}\right):\dfrac{7}{5}=\dfrac{9}{4}\)

\(\left(a-\dfrac{2}{5}\right)=\dfrac{9}{4}\times\dfrac{7}{5}\)

\(a-\dfrac{2}{5}=\dfrac{63}{20}\)

\(a=\dfrac{63}{20}+\dfrac{2}{5}\)

\(a=\dfrac{71}{20}\)

Answer 2

`3/4 =1/3xx ( a- 2/5): 7/5`

`=> 1/3xx ( a- 2/5): 7/5 =3/4`

`=> ( a- 2/5): 7/5 =3/4:1/3`

`=> ( a- 2/5): 7/5 =3/4 xx3`

`=>( a- 2/5): 7/5 =9/4`

`=>a- 2/5=9/4xx7/5`

`=>a- 2/5=63/20`

`=>a=63/20+2/5`

`=>a=63/20+8/20`

`=>a=71/20`

Answer 3

\(\dfrac{1}{3}x\left(a-\dfrac{2}{5}\right):\dfrac{7}{5}=\dfrac{3}{4}\\ \dfrac{1}{3}x\left(a-\dfrac{2}{5}\right)=\dfrac{3}{4}x\dfrac{7}{5}\\ \dfrac{1}{3}x\left(a-\dfrac{2}{5}\right)=\dfrac{21}{20}\\ \left(a-\dfrac{2}{5}\right)=\dfrac{21}{20}:\dfrac{1}{3}\\ a-\dfrac{2}{5}=\dfrac{63}{20}\\ a=\dfrac{63}{20}+\dfrac{2}{5}\\ a=\dfrac{71}{20}\)