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During the days leading to her piano recital, Lana practiced an average of 1 5/12 hours per day.Her total practice time was 11 1/3 hours. How many days did she practice?

User Wauna
by
5.7k points

2 Answers

6 votes

Answer:

Lana practiced for 8 days.

Explanation:

Change to improper fractions.

1 5/12 = 17/12

11 1/3 = 34/3

Divide the total hours by the daily hours of practice (divide fractions by multiplying the reciprocal.)

34/3 x 12/17 =

2/1 x 4/1 = 8

User Sven Van Zoelen
by
6.1k points
3 votes

Hey!

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Solution:

Find common denominators.

11 1/3 = 11 4/12

1 5/12 = 5/12

Turn into improper fraction.

11 4/12 = 136/12

1 5/12 = 17/12

Divide using the "Copy Dot Flip Method."

136/12 ÷ 17/12

136/12 x 12/17

1,632/204

Simplify.

8

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Answer:

Lana practiced for 8 days leading to her piano recital.

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Hope This Helped! Good Luck!

User Penguinrob
by
6.7k points