Question

$- 6 \frac{1}{2 } + 5$can I get help

Answer 1

$-6\frac{1}{2}+5=-\frac{3}{2}$

Explanation

$-6\frac{1}{2}+5$

Step 1

remember how to convert mixed numbers into fractions

$a\frac{b}{c}=\frac{(a\cdot c)+b}{c}$

then, convert the mixed number in the expression

$-6\frac{1}{2}=-(\frac{6\cdot2+1}{2})=-\frac{13}{2}$

Step 2

when you add 2 fractions numbers:

$\frac{a}{b}\cdot\frac{c}{d}=\frac{(a\cdot d)+(b\cdot c)}{b\cdot d}$

then,Add the numbers

$\begin{gathered} -6\frac{1}{2}+5 \\ -\frac{13}{2}+\frac{5}{1}=\frac{-13\cdot1+2\cdot5}{2\cdot1}=\frac{-13+10}{2}=-\frac{3}{2} \\ \\ -6\frac{1}{2}+5=-\frac{3}{2} \end{gathered}$

I hope this helps you.