Question

The value of $\frac{\left(\frac{1}{2}\right)\times \left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)}{\left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)\times \left(\frac{3}{4}\right)}$ is ___.

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $\frac{6}{7}$
• D. $1$

Answer 1

The correct option is C

$\frac{6}{7}$

$\frac{\left(\frac{1}{2}\right)\times \left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)}{\left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)\times \left(\frac{3}{4}\right)}$

= $\frac{\left(\frac{1}{4}\right)+\left(\frac{1}{2}\right)}{\left(\frac{1}{2}\right)\times \left(\frac{3}{8}\right)}$

= $\frac{\left(\frac{2+4}{8}\right)}{\left(\frac{4+3}{8}\right)}$

= $\frac{\left(\frac{6}{8}\right)}{\left(\frac{7}{8}\right)}$

= $\frac{6}{7}$