**1.2.1 Directed Numbers, PT3 Practice 2**

**Question 6:**

Calculate the value of

$1-\left(-2+7\times 0.15\right)\xf72\frac{1}{2}$

Solution:

$\begin{array}{l}1-\left(-2+7\times 0.15\right)\xf72\frac{1}{2}\\ =1-\left(-2+1.05\right)\times \frac{2}{5}\\ =1-\left(-0.95\right)\times \frac{2}{5}\\ =1-\left(-0.38\right)\\ =1.38\end{array}$
**Question 7:**

Calculate the value of
$1\frac{1}{8}\times \left(\frac{4}{5}-\frac{2}{3}\right)$
and express the answer as a fraction in its lowest terms.

Solution:

$\begin{array}{l}1\frac{1}{8}\times \left(\frac{4}{5}-\frac{2}{3}\right)\\ =1\frac{1}{8}\times \left(\frac{12}{15}-\frac{10}{15}\right)\\ =\frac{{\overline{)9}}^{3}}{{\overline{)8}}_{4}}\times \frac{{\overline{)2}}^{1}}{{\overline{)15}}_{5}}\\ =\frac{3}{20}\end{array}$