Grade 4 math worksheet on writing and comparing fractions with real-life word problems.

Let's solve each of the three word problems step by step, based on the information provided in the image.

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Given Information:

- Total number of students in the school: 462
- Two Grade 4 classes:
- Ms. Ashley’s class: 14 girls and 10 boys
- Total = 14 + 10 = 24 students
- Mr. Ben’s class: 14 girls and 10 boys
- Total = 14 + 10 = 24 students
- So, total Grade 4 students = 24 (Ms. Ashley) + 24 (Mr. Ben) = 48 students

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Question 1: What fraction of the students in the school are in grade 4?

We need to find what fraction of the total school population is in Grade 4.

- Grade 4 students = 48
- Total school students = 462

So, the fraction is:

$$
\frac{48}{462}
$$

Now simplify this fraction.

First, find the greatest common divisor (GCD) of 48 and 462.

- Factors of 48: 2 × 2 × 2 × 2 × 3
- Factors of 462: 2 × 3 × 7 × 11
- Common factors: 2 × 3 = 6

Divide numerator and denominator by 6:

$$
\frac{48 ÷ 6}{462 ÷ 6} = \frac{8}{77}
$$

✔ Answer to Question 1: $ \frac{8}{77} $

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Question 2: What fraction of the grade 4 students are boys?

Total Grade 4 students = 48
Number of boys in Grade 4:

- Ms. Ashley’s class: 10 boys
- Mr. Ben’s class: 10 boys
- Total boys = 10 + 10 = 20

So, fraction of Grade 4 students who are boys:

$$
\frac{20}{48}
$$

Simplify:

Divide numerator and denominator by 4:

$$
\frac{20 ÷ 4}{48 ÷ 4} = \frac{5}{12}
$$

✔ Answer to Question 2: $ \frac{5}{12} $

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Question 3: What fraction of the grade 4 students are in Ms. Ashley’s class?

Ms. Ashley’s class has 24 students
Total Grade 4 students = 48

So,

$$
\frac{24}{48} = \frac{1}{2}
$$

✔ Answer to Question 3: $ \frac{1}{2} $

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✔ Final Answers:

1. $ \frac{8}{77} $ of the students in the school are in grade 4.
2. $ \frac{5}{12} $ of the grade 4 students are boys.
3. $ \frac{1}{2} $ of the grade 4 students are in Ms. Ashley’s class.

Let me know if you'd like a visual explanation or further breakdown!