Question

simplify 4 by 7 plus minus 8 by 9 + minus 5 by 21 + 1 by 3​

Answer 1

$Given \:\frac{4}{7} + \Big(\frac{-8}{9}\Big) + \Big(\frac{-5}{21}\Big) + \frac{1}{3}$

$=\frac{4}{7} - \frac{8}{9} - \frac{5}{21}+ \frac{1}{3}$

/* Rearranging the terms,we get */

$=\frac{4}{7} - \frac{5}{21} +\frac{1}{3}- \frac{8}{9}$

$= \frac{12-5}{21} + \frac{3-8}{9}$

$= \frac{7}{21} + \frac{(-5)}{9}$

$= \frac{1}{3} -\frac{5}{9}$

$= \frac{3-5}{9} \\= \frac{-2}{9}$

Therefore.,

$\red{\frac{4}{7} + \Big(\frac{-8}{9}\Big) + \Big(\frac{-5}{21}\Big) + \frac{1}{3}}\green { =\frac{-2}{9}}$

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Answer 2

-2/9 is the answer.

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