Question

Sandy was told to practice playing flute for 2 5/12 hours per day sandy has already played 1 1/9 hours today how many hours does sandy still need to practice today?

Answer 1

Answer:

$1\frac{11}{36}$

Step-by-step explanation:

Given:

Sandy was told to practice playing flute for = $2\frac{5}{12}$  hours per day

Sandy has already played = $1\frac{1}{9}$ 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 = $2\frac{5}{12}$  hours per day

                                                                        = $\frac{12\times2 +5}{12}$ = $\frac{24+5}{12} = \frac{29}{12}$

Sandy has already played today = $1\frac{1}{9}$ hours today

                                                      = $\frac{9\times1+1}{9} = \frac{10}{9}$

Sandy still need to practice today = $\frac{29}{12} - \frac{10}{9}$

                                             Taking LCM of 12 and 9 = 36

                                                        = $\frac{29\times3-4\times10}{36}$

                                                        = $\frac{87-40}{36}$

                                                        = $\frac{47}{36}$ = $1\frac{11}{36}$

Therefore, $1\frac{11}{36}$ hours still need to practice today.