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

What will come in place of the question mark (?) in the following question?
$335.01 \times 244.99 \div 55 = ?$

$\frac{5}{6} \div \frac{6}{7} \times ? - \frac{8}{9} \div 1 \frac{3}{5} + \frac{3}{4} \times 3 \frac{1}{3} = 2 \frac{7}{9}$

What will come in place of the question mark (?) in the following equation?
$4003 \times 77 - 21015 = ? \times 116$

The value of $(1-\sqrt{2})+(\sqrt{2}-\sqrt{3})+(\sqrt{3}-\sqrt{4})+\ldots+(\sqrt{15}-\sqrt{16})$ is

If $4x + 5y = 83$ and $\frac{3x}{2y} = \frac{21}{22}$,then $y - x = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module