Answer :
Given:
The expression is
[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]
To find:
The value of the given expression closest to the whole number.
Solution:
We have,
[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]
Cancel out the common factors from each fraction.
[tex]=\dfrac{6}{5}\times \dfrac{5}{6}[/tex]
[tex]=\dfrac{6\times 5}{5\times 6}[/tex]
[tex]=\dfrac{30}{30}[/tex]
[tex]=1[/tex]
Therefore, the value of the given expression is 1.