Question

Calculate the value of $y$ from the expression

$\frac{\frac{6}{5}}{\frac{12}{2y}-\frac{5}{y}}=1$

• A. $\frac{5}{6}$ or $0.83$
• B. $0.5$
• C. $0.7$
• D. $1$

Answer 1

The correct option is A $\frac{5}{6}$ or $0.83$

Given, $\frac{\frac{6}{5}}{\frac{12}{2y}-\frac{5}{y}}=1$

$\Rightarrow \frac{\frac{6}{5}}{\frac{12-10}{2y}}=1$

$\Rightarrow \frac{6}{5}\times \frac{2y}{2}=1$

$\Rightarrow 12y=10$

$\Rightarrow y=\frac{5}{6}$ or $0.83$