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3. In a fifth grade class, 45 of the girls have brown hair. Of the brown-haired girls. \( 3 / 4 \) them have long hair. Of the girl's with long brain hair, \( 1 / 3 \) of them have green eyes A: What fraction of the girls in the class have long brown hair?

Ask by Joseph Huang. in the United States
Mar 11,2025

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The fraction of girls in the class who have long brown hair is \( \frac{135}{4} \) or 33.75.

Solución

To find the fraction of girls in the class who have long brown hair, we need to follow the given information step by step. 1. First, we know that 45 girls have brown hair. 2. Of these 45 girls with brown hair, \( \frac{3}{4} \) of them have long hair. This means that \( \frac{3}{4} \times 45 \) girls have long brown hair. 3. Next, we are told that of the girls with long brown hair, \( \frac{1}{3} \) of them have green eyes. This means that \( \frac{1}{3} \) of the girls with long brown hair have green eyes. Now, let's calculate the fraction of girls in the class who have long brown hair. Calculate the value by following steps: - step0: Calculate: \(\frac{3}{4}\times 45\) - step1: Multiply: \(\frac{3\times 45}{4}\) - step2: Multiply: \(\frac{135}{4}\) The fraction of girls in the class who have long brown hair is \( \frac{135}{4} \) or 33.75.

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To find the fraction of girls in the class who have long brown hair, we start with the 45 brown-haired girls. Since \( \frac{3}{4} \) of them have long hair, we calculate: \( \frac{3}{4} \times 45 = 33.75 \) Since we can't have a fraction of a person, we can say 34 girls have long brown hair (assuming rounding up for whole number). Now, to find the fraction of the entire class that these long brown-haired girls represent, we must know the total number of girls in the class. If we assume the class has a total of 100 girls, then: Fraction of girls with long brown hair = \( \frac{34}{100} = \frac{17}{50} \). So, \( \frac{17}{50} \) of the girls in the class have long brown hair!

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