Real-World Examples: Converting Rational Numbers in Everyday Life

📚 Quick Study Guide

• 🔢 Rational numbers can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$.
• 🍕 Many everyday situations involve fractions or decimals, which are often rational numbers.
• ⚖️ Examples include measuring ingredients while cooking, calculating discounts, and understanding proportions.
• 🧮 Converting decimals to fractions and vice versa is a key skill for working with rational numbers in practical contexts.
• 📊 Percentages are also rational numbers since they can be expressed as fractions with a denominator of 100.

🧪 Practice Quiz

1. Which of the following is an example of using rational numbers in cooking?
   1. Measuring 1/2 cup of flour.
   2. Setting the oven temperature to 350°F.
   3. Whisking eggs.
   4. Boiling water.
2. A store offers a 25% discount on an item. How is this discount represented as a rational number?
   1. $\frac{1}{4}$
   2. $\frac{1}{2}$
   3. $\frac{3}{4}$
   4. 1
3. What rational number represents 0.75?
   1. $\frac{1}{4}$
   2. $\frac{1}{2}$
   3. $\frac{3}{4}$
   4. 1
4. You spend $10.50 on lunch. How can this amount be expressed as a rational number?
   1. $\frac{21}{2}$
   2. $\frac{10}{1}$
   3. $\frac{11}{2}$
   4. $\frac{20}{3}$
5. A recipe calls for ingredients in the following ratios: 1/3 cup of sugar, 1/4 cup of butter, and 1/2 cup of milk. Which ingredient is used in the smallest quantity?
   1. Sugar
   2. Butter
   3. Milk
   4. All are equal
6. What is 33$\frac{1}{3}$% expressed as a rational number?
   1. $\frac{1}{2}$
   2. $\frac{1}{3}$
   3. $\frac{1}{4}$
   4. $\frac{2}{3}$
7. If you drive 15.5 miles to work, how can this distance be expressed as a rational number?
   1. $\frac{30}{2}$
   2. $\frac{31}{2}$
   3. $\frac{15}{1}$
   4. $\frac{16}{2}$