Question

Please answer both with work,please use a paper and picture, thanks ​

Answer 1

Answer:

a.  $\frac{\textbf{17}}{\textbf{4}}$

b.  $\frac{\textbf{3}}{\textbf{8}}$

Step-by-step explanation:

a. $\textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}}$

A mixed fraction of the form $a\frac{x}{y} = a + \frac{x}{y}$

$\therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4}$

$= 4 + \frac{1}{4}$

$= \frac{\textbf{17}}{\textbf{4}}$

b. $\textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}}$

A mixed fraction of the form $-c\frac{a}{b} = - c - \frac{a}{b}$

$\therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8}$

$= 1 - \frac{5}{8}$

$= \frac{8 - 5}{8}$

$= \frac{\textbf{3}}{\textbf{8}}$

Hence, the answer.