7/24 is red, 1/12 is blue, 1/8 is white, the remainder pieces of the circle are yellow, what co.or is the arrow on?

To determine the color of the segment the arrow is pointing to, we need to consider the fractions given and how they represent sections of a circle.

### Steps:
1. **Identify Fractions:**
   - Red: \( \frac{7}{24} \)
   - Blue: \( \frac{1}{12} \)
   - White: \( \frac{1}{8} \)

2. **Convert to a Common Denominator:**
   To add these fractions, we first need to convert them to a common denominator. The least common denominator (LCD) of 24, 12, and 8 is 24.

   - \( \frac{7}{24} \) remains \( \frac{7}{24} \).
   - \( \frac{1}{12} \) converts to \( \frac{2}{24} \).
   - \( \frac{1}{8} \) converts to \( \frac{3}{24} \).

3. **Sum of the Fractions:**
   Adding the fractions:
   \[
   \frac{7}{24} + \frac{2}{24} + \frac{3}{24} = \frac{12}{24}
   \]
   These fractions cover half of the circle, so the remaining half of the circle (i.e., \( \frac{12}{24} \)) is yellow.

4. **Position of the Arrow:**
   Since half of the circle is colored yellow, the color that the arrow lands on depends on its placement. If the arrow points to a part of the circle within the covered half (the \( \frac{12}{24} \)), it will be yellow. If not, it will land on either red, blue, or white depending on the segment placement.

Without knowing the exact position of the arrow, it is most likely yellow since yellow occupies half of the circle. 

Would you like further details or have any questions?

Here are five related questions to consider:
1. What is the position of the arrow relative to the segments?
2. How do you find the position of the arrow using angles instead of fractions?
3. What if the arrow was exactly on the boundary between two colors?
4. How would you distribute additional colors with different fractions?
5. How would you solve this problem if the circle wasn't divided into fractions?

**Tip:** To find the position of an arrow on a circle, converting fractions into angles (degrees) is often a useful approach.

7/24 is red, 1/12 is blue, 1/8 is white, the remainder pieces of the circle are yellow, what color is the arrow on?

This problem explores how to determine the color of a segment on a circle based on fractional divisions. Learn to convert fractions to a common denominator and sum them to identify the remaining segment color. Ideal for students in Grades 5-7.

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