Let {\a}=\binom{\frac{2}{3} \div {\frac{-4}{5}}+\frac{7}{12}+\frac{-11}{6}}/{\frac{1}{9}+\frac{5}{3} \times \frac{-8}{15}+\frac{7}{27}} Then, the value of a is

CTET 2 Math and Science 7 Jan 2022 Paper

Question : 34 of 150

Marks: +1, -0

Let

{\a}=\;{\;{2}/{3} ÷ {{-4}/{5}}+{7}/{12}+{-11}/{6}}/{{1}/{9}+\;{5}/{3} × \;{-8}/{15}+\;{7}/{27}}

Then, the value of a is

Solution:

a=\;{\;{2}/{3} ÷ {{-4}/{5}}+{7}/{12}+{-11}/{6}}/{{1}/{9}+\;{5}/{3} × \;{-8}/{15}+\;{7}/{27}}

⇒ a=\;{\;{2}/{3} × {5}/{-4}+{7}/{12}+{-11}/{6}}/{{1}/{9}+\;{5}/{3} × \;{-8}/{15}+\;{7}/{27}}

⇒ a=\;{\;{5}/{-6}+{7}/{12}+{-11}/{6}}/{{1}/{9}+\;{-8}/{9}+\;{7}/{27}}

⇒ a=\;{-{5}/{6}+{7}/{12}-{11}/{6}}/{{1}/{9}-\;{8}/{9}+\;{7}/{27}}

⇒ a=\;{\;{-10+7-22}/{12}}/{{3-24+7}/{27}}

⇒ a=\;{\;{-25}/{12}}/{{-14}/{27}}

⇒ a=\;{-675}/{-168}

⇒ a=\;{675}/{168}

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