Question
Ten srudents share 8 pieces of poster board equally. What fraction of a piece of poster board does each student get?
Ask by Johnston Howell. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each student gets \(\frac{4}{5}\) of a piece of poster board.
Solution
To find out how much poster board each student gets, we need to divide the total amount of poster board by the number of students.
1. **Known conditions:**
- Total pieces of poster board = 8
- Total students = 10
2. **Calculation:**
We need to calculate the fraction of poster board each student receives, which can be expressed as:
\[
\text{Fraction per student} = \frac{\text{Total pieces of poster board}}{\text{Total students}} = \frac{8}{10}
\]
3. **Simplifying the fraction:**
We can simplify \(\frac{8}{10}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\[
\frac{8 \div 2}{10 \div 2} = \frac{4}{5}
\]
Thus, each student gets \(\frac{4}{5}\) of a piece of poster board.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
Each of the ten students would receive a fraction of the total poster boards available. You simply divide the number of pieces of poster board by the number of students: 8 pieces ÷ 10 students = 0.8 pieces per student. In fraction terms, that’s 8/10, which simplifies to 4/5. So, each student gets 4/5 of a piece of poster board. Now, if you consider the visual aspect, it’s pretty neat to picture it! Imagine each student holding a section of a board – you can even have fun with colors! If the poster boards were all different colors, you’d have a vibrant display of cooperation, each getting their equal share. Perfect for a classroom project!
