Respuesta :
Answer:
[tex]1\frac{11}{36}[/tex]
Step-by-step explanation:
Given:
Sandy was told to practice playing flute for = [tex]2\frac{5}{12}[/tex] hours per day
Sandy has already played = [tex]1\frac{1}{9}[/tex] hours today
To find:
how many hours does sandy still need to practice today?
Solution:
we can find simply by subtracting,
Sandy was told to practice playing flute for = [tex]2\frac{5}{12}[/tex] hours per day
= [tex]\frac{12\times2 +5}{12}[/tex] = [tex]\frac{24+5}{12} = \frac{29}{12}[/tex]
Sandy has already played today = [tex]1\frac{1}{9}[/tex] hours today
= [tex]\frac{9\times1+1}{9} = \frac{10}{9}[/tex]
Sandy still need to practice today = [tex]\frac{29}{12} - \frac{10}{9}[/tex]
Taking LCM of 12 and 9 = 36
= [tex]\frac{29\times3-4\times10}{36}[/tex]
= [tex]\frac{87-40}{36}[/tex]
= [tex]\frac{47}{36}[/tex] = [tex]1\frac{11}{36}[/tex]
Therefore, [tex]1\frac{11}{36}[/tex] hours still need to practice today.
