• Let the old phone be x = 10 1/6 hours
• The new phone is said to be 1 and 1/2 times longer .
so;
10 +1/6 hours is the same 10 hours 9 minutes and 6 seconds
1/6 * 60 minutes = 9.6 = 9 minutes and 6 seconds* 1 + 1/2 = 15 1/4
• This means that the new smart phone will take 15 hours and a quarter minute , which is 15 hours and 15 seconds
[tex]\begin{gathered} 10\frac{1}{6\text{ }}\cdot\text{ 1}\frac{1}{2} \\ \Rightarrow\frac{61}{6}\cdot\text{ }\frac{3}{2} \\ \Rightarrow\frac{61\cdot3}{6\cdot2\text{ }} \\ \Rightarrow\frac{61\cdot\text{ 3 }}{3\cdot2\cdot2}\ldots\text{.. ( the 3 cancels each other ) } \\ \Rightarrow\frac{61\text{ }}{4}\ldots(convert\text{ to improper fraction)} \\ \Rightarrow15\text{ }\frac{1}{4} \end{gathered}[/tex]
