Given:
The expression is:
[tex]\dfrac{2}{10}\left(\dfrac{1}{12}+\dfrac{3}{4}\right)\div \dfrac{3}{7}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\dfrac{2}{10}\left(\dfrac{1}{12}+\dfrac{3}{4}\right)\div \dfrac{3}{7}[/tex]
On simplification, we get
[tex]=\dfrac{2}{10}\left(\dfrac{1+9}{12}\right)\div \dfrac{3}{7}[/tex]
[tex]=\dfrac{2}{10}\left(\dfrac{10}{12}\right)\div \dfrac{3}{7}[/tex]
[tex]=\dfrac{2}{12}\div \dfrac{3}{7}[/tex]
[tex]=\dfrac{1}{6}\div \dfrac{3}{7}[/tex]
In can be written as:
[tex]=\dfrac{1}{6}\times \dfrac{7}{3}[/tex]
[tex]=\dfrac{7}{18}[/tex]
Therefore, the value of the given expression is [tex]\dfrac{7}{18}[/tex].