Question

The value of $\frac{6}{11}\times [\left(\frac{-7}{6}\right)-\left(\frac{11}{7}\right)]$ is

• A. $\frac{17}{77}$
• B. $\frac{-17}{77}$
• C. $\frac{-115}{77}$
• D. $\frac{115}{77}$

Answer 1

Answer: (C)

$\frac{-115}{77}$

$\frac{6}{11}\times [\left(\frac{-7}{6}\right)-\left(\frac{11}{7}\right)]$

$=\frac{6}{11}\times \frac{-7}{6}-\frac{6}{11}\times \frac{11}{7}$ ($\because$ distributive property)

$=\frac{-7}{11}-\frac{6}{7}$

$=\frac{-49-66}{77}$

$=\frac{-115}{77}$.