Question

Give each answer as mixed number in simplest form

Answer 1

Step-by-step explanation:

$= \frac{1}{2} + ( - 5 \frac{9}{10} )$

$= \frac{1}{2} - 5 \frac{9}{10}$

$= \frac{1}{2} - \frac{5 \times 10 + 9}{10}$

$= \frac{1}{2} - \frac{59}{10}$

$= \frac{1}{2} \times \frac{5}{5} - \frac{59}{10}$

$= \frac{5}{10} - \frac{59}{10}$

$= \frac{5 - 59}{10}$

$= - \frac{54}{10}$

$= - \frac{27}{5}$

Answer 2

Answer:

$-5 \frac{2}{5}$

Step-by-step explanation:

$\frac{1}{2} +\left( -5\frac{9}{10} \right)$

$= \frac{1}{2} -\left( 5\frac{9}{10} \right) \ \ \ \text{(recall\ :\ + - = - )}$

$= \frac{1}{2} -\left( 5+\frac{9}{10} \right)$

$= \frac{1}{2} -5 - \frac{9}{10} \right)$

$= \frac{5}{10} -5 - \frac{9}{10} \right)$

$= -5 + \frac{5}{10} - \frac{9}{10} \right)$

$= -5 - \frac{4}{10}$

$= -5 - \frac{2}{5}$

$= -5 \frac{2}{5}$