Question
What is
[tex]2\frac{2}{5}+\frac{1}{15}[/tex]Answer:
Note that
[tex]2\frac{2}{5}[/tex]Is a mixed fraction, meaning 2 units plus 1/5. First, lets convert that to a normal fraction, knowing that
[tex]a\frac{b}{c}=\frac{a\times c+b}{c}[/tex]Where a, b and c are any number. Therefore,
[tex]2\frac{2}{5}=\frac{2\times5+2}{5}\rightarrow\frac{10+2}{5}\rightarrow\frac{12}{5}[/tex]Thus,
[tex]\begin{gathered} 2\frac{2}{5}+\frac{1}{15}=\frac{12}{5}+\frac{1}{15} \\ \text{Operate using LCM (15)} \\ \frac{12\times3}{15}+\frac{1}{15}=\frac{36+1}{15} \\ \rightarrow\frac{37}{15} \\ \end{gathered}[/tex]So
[tex]2\frac{2}{5}+\frac{1}{15}=\frac{37}{15}[/tex]