Question

Add. -9/21, + 5/-7 + 2/3 =
answer full explanation.
​

Answer 1

• As per the data given in the question, we have to find the value of the expression.

            Given data:- $\frac{-9}{21} +\frac{5}{-7} +\frac{2}{3}.$

            To find:- the value of the given expression.

            Solution:-

• We will take the LCM of the denominators, and make denominators the same.

• We will Convert the given fractions to equivalent fractions with the denominator as the LCM.

• Adding the numerators over the denominators.

         $\frac{-9}{21} +\frac{5}{-7} +\frac{2}{3}\\=\frac{-3}{7} +\frac{5}{-7} +\frac{2}{3}\\= -\frac{3}{7}+\left(-\frac{5}{7}\right)\\=\frac{-3+(-5)}{7}=-\frac{8}{7}$

       Now add,

       $=-\frac{8}{7}+\frac{2}{3\\}\\=\frac{-8 \cdot 3}{7 \cdot 3}+\frac{2 \cdot 7}{3 \cdot 7}\\=-\frac{24}{21}+\frac{14}{21}=\frac{-24+14}{21}\\=-\frac{10}{21}.$

       Hence we will get the value $\frac{-10}{21} .$