Answer:
a. [tex]$ \frac{\textbf{17}}{\textbf{4}} $[/tex]
b. [tex]$ \frac{\textbf{3}}{\textbf{8}} $[/tex]
Step-by-step explanation:
a. [tex]$ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $[/tex]
A mixed fraction of the form [tex]$ a\frac{x}{y} = a + \frac{x}{y} $[/tex]
[tex]$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $[/tex]
[tex]$ = 4 + \frac{1}{4} $[/tex]
[tex]$ = \frac{\textbf{17}}{\textbf{4}} $[/tex]
b. [tex]$ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $[/tex]
A mixed fraction of the form [tex]$ -c\frac{a}{b} = - c - \frac{a}{b} $[/tex]
[tex]$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $[/tex]
[tex]$ = 1 - \frac{5}{8} $[/tex]
[tex]$ = \frac{8 - 5}{8} $[/tex]
[tex]$ = \frac{\textbf{3}}{\textbf{8}} $[/tex]
Hence, the answer.
