Question

Find x if $5\frac{1}{3}$- $5\frac{2}{3}$ $÷$ 1$\frac{1}{3}$ $÷$ $x+3$$\frac{1}{5}$ $÷$ $1\frac{1}{5}$ $=7$

• A. $1\frac{1}{2}$
• B. $2\frac{1}{3}$
• C. $3\frac{1}{4}$
• D. None of these

Answer 1

Answer: (D)

None of these

$BODMAS$ $principle:$ It explains the order of operation to solve an expression.

If an operation contains brackets, then we have to simplify brackets followed by order (Square/ Root) followed by division, followed by multiplication, addition and subtraction.

$B\to BracketsO\to OrderD\to DivisionM\to MultiplicationA\to AdditionS\to Substraction$

$5\frac{1}{3}-5\frac{2}{3}÷1\frac{1}{3}÷x+3\frac{1}{5}÷1\frac{1}{5}=7\frac{16}{3}-\frac{17}{4}÷x+\frac{16}{6}=7\frac{16}{3}-\frac{17}{4x}+\frac{8}{3}=7\frac{24}{3}-7=\frac{17}{4x}4x=17x=\frac{17}{4}$

Which is not in the options.