Concept
The total length of the three songs can be calculated by adding all the three-time together.
[tex]\begin{gathered} 1\text{ song = 3}\frac{1}{2} \\ 2\text{ song = 2}\frac{57}{60} \\ 3\text{ song = 4}\frac{3}{4} \end{gathered}[/tex]Therefore, total length of time in minutes is calculated below.
[tex]\text{Total length of time = 3}\frac{1}{2}\text{ + 2}\frac{57}{60}\text{ + 4}\frac{3}{4}[/tex]First, find the sum of all whole numbers then the sum of all fractions
[tex]\begin{gathered} =\text{ (3+2+4)(}\frac{1}{2}+\frac{57}{60}+\frac{3}{4}) \\ =\text{ 9(}\frac{30\text{ +57+45}}{60}\} \\ =9(\frac{132}{60}) \\ =\text{ 11}\frac{12}{60} \\ =\text{ 11}\frac{1}{5} \end{gathered}[/tex]Final answer
[tex]\text{Length of the thr}ee\text{ songs altogether = 11}\frac{1}{5}\text{ minutes}[/tex]