Respuesta :

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].

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