Question
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3. The ratio of students with brown eyes in Michelle's class to all of the students in her class is \( 20: 25 \). What is another way to write this ratio? \( \frac{20}{25} \) 25 \( \frac{25}{20} \) 20 20

Ask by Henry Wells. in the United States
Jan 25,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Another way to write the ratio is \( \frac{20}{25} \).

Solution

To express the ratio of students with brown eyes to all students in Michelle's class, which is given as \( 20:25 \), you can write it as a fraction. Here's the breakdown: - **Ratio Format:** \( 20:25 \) - **Fraction Format:** \( \frac{20}{25} \) Among the provided options: 1. \( \frac{20}{25} \) ✅ **Correct** 2. 25 ❌ **Incorrect** (This represents only the total number of students) 3. \( \frac{25}{20} \) ❌ **Incorrect** (This inverts the ratio) 4. 20 ❌ **Incorrect** (This represents only the number of students with brown eyes) 5. 20 ❌ **Incorrect** (Same as above) **Therefore, the correct way to write the ratio is:** \[ \frac{20}{25} \]

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The Deep Dive

The ratio of students with brown eyes to all students can be simplified to its lowest terms. Dividing both parts of the ratio \( 20:25 \) by 5 gives us \( 4:5 \). This means that for every 4 students with brown eyes, there are 5 students in total! Another way to write this ratio is as a fraction, which would be \( \frac{4}{5} \). This fraction indicates that brown-eyed students make up 4 out of every 5 students in the class. Simple and clear!

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