splashstormforever splashstormforever
  • 02-02-2020
  • Mathematics
contestada

Simplify the following expression.
[tex]\frac{3}{11}a -\frac{4}{7}-\frac{1}{3}a+\frac{2}{3}[/tex]

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vijayalalitha vijayalalitha
  • 08-02-2020

The simplified expression is [tex]\frac{-2a}{33} +\frac{2}{21}[/tex]

Explanation:

The expression is [tex]$\frac{3}{11} a-\frac{4}{7}-\frac{1}{3} a+\frac{2}{3}$[/tex]

Grouping the like terms,

[tex]$\frac{3}{11} a-\frac{1}{3} a-\frac{4}{7}+\frac{2}{3}$[/tex]

Adding the like terms, we get,

[tex]\frac{9a-11a}{33} +\frac{-12+14}{21}[/tex]

Subtracting the values, we have,

[tex]\frac{-2a}{33} +\frac{2}{21}[/tex]

Thus, the simplified expression is [tex]\frac{-2a}{33} +\frac{2}{21}[/tex]

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