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The value of 12pi over 10pi times 5pi Over 6pi is closest to the whole number (blank). Find the blank

Sagot :

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.