Simplify: 2 div [2 + 2 div {2 + 2 div (2 + 2 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To simplify the expression,we follow the $BODMAS$ rule (Bracket,Of,Division,Multiplication,Addition,Subtraction).Given expression: $2 \div [2 + 2

Vedclass · Accepted Answer

$\frac{11}{15}$

Vedclass · Answer

(C) To simplify the expression,we follow the $BODMAS$ rule (Bracket,Of,Division,Multiplication,Addition,Subtraction).Given expression: $2 \div [2 + 2 \div \{2 + 2 \div (2 + 2 \div 3)\}]$Step $1$: Solve the innermost bracket $(2 + 2 \div 3) = (2 + \frac{2}{3}) = \frac{6+2}{3} = \frac{8}{3}$.Step $2$: Substitute back into the expression: $2 \div [2 + 2 \div \{2 + 2 \div \frac{8}{3}\}]$.Step $3$: Solve the curly bracket: $2 + 2 \div \frac{8}{3} = 2 + 2 	imes \frac{3}{8} = 2 + \frac{3}{4} = \frac{8+3}{4} = \frac{11}{4}$.Step $4$: Substitute back into the expression: $2 \div [2 + 2 \div \frac{11}{4}]$.Step $5$: Solve the square bracket: $2 + 2 \div \frac{11}{4} = 2 + 2 	imes \frac{4}{11} = 2 + \frac{8}{11} = \frac{22+8}{11} = \frac{30}{11}$.Step $6$: Final division: $2 \div \frac{30}{11} = 2 	imes \frac{11}{30} = \frac{11}{15}$.

Simplify: $2 \div [2 + 2 \div \{2 + 2 \div (2 + 2 \div 3)\}]$

Similar Questions

Which value among $3^{200}, 2^{300}$ and $7^{100}$ is the largest?

What is the value of $4^{3}-3^{2}+6^{2}-5^{2}+8^{2}-7^{2} ?$

Find the value of $\frac{(0.064-0.008)(0.16-0.04)}{(0.16+0.08+0.04)(0.4+0.2)^{3}}$.

What is the value of $111 \frac{1}{2} + 111 \frac{1}{6} + 111 \frac{1}{12} + 111 \frac{1}{20} + 111 \frac{1}{30}$?

The value of $\frac{3 \sqrt{2}}{\sqrt{3}+\sqrt{6}}-\frac{4 \sqrt{3}}{\sqrt{6}+\sqrt{2}}+\frac{\sqrt{6}}{\sqrt{3}+\sqrt{2}}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module