Question

The value of the expression $E=3\frac{1}{12}-[1\frac{3}{4}+(2\frac{1}{2}-(1\frac{1}{2}-\frac{1}{3}))]$ is

• A. $\frac{1}{2}$
• B. $2$
• C. $1$
• D. $0$

Answer 1

The correct option is D $0$

Let $E=3\frac{1}{12}-[1\frac{3}{4}+(2\frac{1}{2}-(1\frac{1}{2}-\frac{1}{3}))]$

$\Rightarrow E=\frac{37}{12}-[\frac{7}{4}+(\frac{5}{2}-(\frac{3}{2}-\frac{1}{3}))]$

$\Rightarrow E=\frac{37}{12}-[\frac{7}{4}+(\frac{5}{2}-\frac{7}{6})]$

$\Rightarrow E=\frac{37}{12}-[\frac{7}{4}+\frac{8}{6}]$

$\Rightarrow E=\frac{37}{12}-\frac{37}{12}=0$

Hence, option D.