Question

Michael plays 1/5 of a song in 1/15 pf a minute. How many minutes will it take to play whole song

Answer 1

well, a whole will be five fifths or 5/5.

now, he only plays 1/5 in 1/15, how many minutes will it take to play the whole 5/5 of the song?


`\bf \begin{array}{ccll} \stackrel{part}{song}&\stackrel{part}{minutes}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ (1)/(5)&(1)/(15)\\\\ (5)/(5)&m \end{array}\implies \cfrac{(1)/(5)}{(5)/(5)}=\cfrac{(1)/(15)}{m}\implies \cfrac{(1)/(5)}{(5)/(5)}=\cfrac{(1)/(15)}{(m)/(1)}\implies \cfrac{1}{5}\cdot \cfrac{5}{5}=\cfrac{1}{15}\cdot \cfrac{1}{m}`


`\bf \cfrac{1}{5}=\cfrac{1}{15m}\implies 15m=5\implies m=\cfrac{5}{15}\implies m=\stackrel{\textit{minutes}}{\cfrac{1}{3}}`