Write and answer 5 representation of real-life situations using rational fraction 

Here are five real-life situations where rational fractions are used:

### 1. **Splitting a Bill Among Friends**
   **Situation:** Four friends go out for dinner, and the total bill comes to $120. They want to split the bill equally among themselves. Each friend’s share of the bill is represented by a rational fraction.
   **Answer:** The fraction representing each friend’s share is $ \frac{120}{4} = 30 $. So, each friend pays $30.

### 2. **Fuel Efficiency**
   **Situation:** A car travels 300 miles on 12 gallons of gasoline. The fuel efficiency of the car can be represented as a rational fraction.
   **Answer:** The fuel efficiency is $ \frac{300 \text{ miles}}{12 \text{ gallons}} = \frac{25 \text{ miles}}{1 \text{ gallon}} $. Thus, the car travels 25 miles per gallon.

### 3. **Mixing Paint**
   **Situation:** To create a particular shade of green, a painter mixes 3 parts yellow paint with 5 parts blue paint. The ratio of yellow paint to the total amount of paint is a rational fraction.
   **Answer:** The fraction of yellow paint is $ \frac{3}{3+5} = \frac{3}{8} $. So, $ \frac{3}{8} $ of the paint is yellow.

### 4. **Interest Rates**
   **Situation:** A savings account earns $50 interest in one year on a balance of $2,000. The interest rate can be expressed as a rational fraction.
   **Answer:** The interest rate is $ \frac{50}{2000} = \frac{1}{40} = 0.025 $ or 2.5%.

### 5. **Recipe Adjustments**
   **Situation:** A recipe requires $ \frac{2}{3} $ cup of sugar. If you want to make only half of the recipe, the amount of sugar needed is a rational fraction.
   **Answer:** Half of the sugar is $ \frac{1}{2} \times \frac{2}{3} = \frac{2}{6} = \frac{1}{3} $ cup of sugar.

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Here are five related questions to further explore these concepts:

1. How would you calculate each person’s share if two additional friends join the dinner?
2. What would the fuel efficiency be if the car traveled 420 miles on 15 gallons?
3. How much blue paint is needed if the painter wants to use 9 parts of yellow paint?
4. How does the interest rate change if the interest earned was $75 instead of $50?
5. If you triple the recipe, how much sugar is required?

**Tip:** Rational fractions are often used to simplify real-life situations, making them easier to understand and manage, especially when dealing with proportions, rates, and ratios.

Explore five real-life scenarios where rational fractions are used, including splitting bills, calculating fuel efficiency, mixing paint ratios, determining interest rates, and adjusting recipe ingredients. Understand how rational fractions simplify proportional relationships and practical calculations. Suitable for students in Grades 6-8.

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