High School

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Your piano teacher wants you to practice 18 hours this month. You practice for [tex]4 \frac{3}{5}[/tex] hours the first week and [tex]3 \frac{1}{4}[/tex] hours the next week. How many more hours do you need to practice this month?

Answer :

Sure! Let's figure out how many more hours you need to practice this month.

1. Understand the problem:
Your goal is to practice a total of 18 hours this month.

2. Find out how many hours you've practiced so far:
- First Week: You practiced [tex]\(4 \frac{3}{5}\)[/tex] hours. To combine this, convert the fraction to a decimal: [tex]\(4 + \frac{3}{5} = 4 + 0.6 = 4.6\)[/tex] hours.
- Second Week: You practiced [tex]\(3 \frac{1}{4}\)[/tex] hours. Convert this fraction as well: [tex]\(3 + \frac{1}{4} = 3 + 0.25 = 3.25\)[/tex] hours.

3. Calculate the total hours practiced:
Add the hours from the first and second weeks:
[tex]\[4.6 + 3.25 = 7.85\][/tex] hours.

4. Determine how many more hours are needed:
Subtract the hours you've practiced from the required total:
[tex]\[18 - 7.85 = 10.15\][/tex] hours.

So, you need to practice an additional 10.15 hours this month to reach a total of 18 hours.

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