Fraction word problems worksheet for students, featuring real-life school scenarios to practice math skills.

Let's solve each problem step by step.

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Problem 1: How many girls are there in the school?

#### Given:
- Total number of students = 864
- Fraction of students who are boys = \(\frac{5}{8}\)

#### Solution:
1. Calculate the number of boys:
\[
\text{Number of boys} = \frac{5}{8} \times 864 = \frac{5 \times 864}{8} = \frac{4320}{8} = 540
\]

2. Calculate the number of girls:
\[
\text{Number of girls} = \text{Total students} - \text{Number of boys} = 864 - 540 = 324
\]

#### Answer:
\[
\boxed{324}
\]

---

Problem 2: How many boys are there in the soccer team?

#### Given:
- Total number of boys = 540 (from Problem 1)
- Fraction of boys who joined the basketball team = \(\frac{1}{6}\)
- Fraction of boys who joined the soccer team = \(\frac{2}{9}\)

#### Solution:
1. Calculate the number of boys in the soccer team:
\[
\text{Number of boys in soccer team} = \frac{2}{9} \times 540 = \frac{2 \times 540}{9} = \frac{1080}{9} = 120
\]

#### Answer:
\[
\boxed{120}
\]

---

Problem 3: What fraction of all students take the school bus to school?

#### Given:
- Total number of students = 864
- Fraction of students in grades 1 and 2 = \(\frac{5}{24}\)
- Fraction of grades 1 and 2 students who take the school bus = \(\frac{4}{7}\)

#### Solution:
1. Calculate the number of students in grades 1 and 2:
\[
\text{Number of students in grades 1 and 2} = \frac{5}{24} \times 864 = \frac{5 \times 864}{24} = \frac{4320}{24} = 180
\]

2. Calculate the number of students in grades 1 and 2 who take the school bus:
\[
\text{Number of students taking the bus} = \frac{4}{7} \times 180 = \frac{4 \times 180}{7} = \frac{720}{7} \approx 102.86
\]
Since the number of students must be a whole number, we assume the exact calculation is precise for the context.

3. Calculate the fraction of all students who take the school bus:
\[
\text{Fraction of all students taking the bus} = \frac{\text{Number of students taking the bus}}{\text{Total number of students}} = \frac{720/7}{864} = \frac{720}{7 \times 864} = \frac{720}{6048} = \frac{5}{42}
\]

#### Answer:
\[
\boxed{\frac{5}{42}}
\]

---

Problem 4: What was the fraction of all students that called in to inform the school about missing school this day?

#### Given:
- Fraction of students who attended school = \(\frac{7}{12}\)
- Fraction of students who missed school = \(1 - \frac{7}{12} = \frac{5}{12}\)
- Fraction of students who missed school and called the school = \(\frac{4}{5}\)

#### Solution:
1. Calculate the fraction of students who missed school and called the school:
\[
\text{Fraction of students who called} = \left(\frac{5}{12}\right) \times \left(\frac{4}{5}\right) = \frac{5 \times 4}{12 \times 5} = \frac{20}{60} = \frac{1}{3}
\]

#### Answer:
\[
\boxed{\frac{1}{3}}
\]

---

Problem 5: How many staff members are invited to the meeting?

#### Given:
- Total number of staff members = 80
- Fraction of staff members who are teaching staff = \(\frac{13}{16}\)

#### Solution:
1. Calculate the number of teaching staff members:
\[
\text{Number of teaching staff} = \frac{13}{16} \times 80 = \frac{13 \times 80}{16} = \frac{1040}{16} = 65
\]

#### Answer:
\[
\boxed{65}
\]

---

Problem 6: How many staff members were at the meeting?

#### Given:
- Total number of staff members = 80
- Fraction of teaching staff not in school = \(\frac{1}{5}\)
- Fraction of teaching staff in school = \(1 - \frac{1}{5} = \frac{4}{5}\)

#### Solution:
1. Calculate the number of teaching staff in school:
\[
\text{Number of teaching staff in school} = \frac{4}{5} \times 65 = \frac{4 \times 65}{5} = \frac{260}{5} = 52
\]

2. The total number of staff members in school is the same as the number of teaching staff in school because only teaching staff attend the meeting:
\[
\text{Number of staff members at the meeting} = 52
\]

#### Answer:
\[
\boxed{52}
\]

---

Final Answers:

1. \(\boxed{324}\)
2. \(\boxed{120}\)
3. \(\boxed{\frac{5}{42}}\)
4. \(\boxed{\frac{1}{3}}\)
5. \(\boxed{65}\)
6. \(\boxed{52}\)