Real-World Examples of Rational Number Operations in Daily Life

Question

Hey there! 👋 Ever wondered how those math problems with fractions and decimals actually show up in your day-to-day life? 🤔 Let's explore some cool, real-world examples where understanding rational number operations can be super handy! 😎

reynolds.michelle98 · Accepted Answer

📚 Quick Study Guide

🔢 A rational number can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q 
eq 0$.
  ➕ Addition/Subtraction: To add/subtract rational numbers, find a common denominator.  $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$
  ✖️ Multiplication: Multiply the numerators and the denominators. $\frac{a}{b} 	imes \frac{c}{d} = \frac{ac}{bd}$
  ➗ Division: Multiply by the reciprocal of the divisor. $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} 	imes \frac{d}{c} = \frac{ad}{bc}$
  ⚖️ Decimals: Rational numbers can also be expressed as terminating or repeating decimals.

🧪 Practice Quiz

Question 1: You are baking a cake and the recipe calls for $\frac{2}{3}$ cup of flour. You only want to make half the recipe. How much flour do you need?
    
      $\frac{1}{6}$ cup
      $\frac{1}{3}$ cup
      $\frac{1}{2}$ cup
      $\frac{5}{6}$ cup

Question 2: A pizza is cut into 8 slices. You eat 3 slices, and your friend eats 2 slices. What fraction of the pizza did you and your friend eat together?
    
      $\frac{1}{8}$
      $\frac{5}{8}$
      $\frac{3}{8}$
      $\frac{1}{2}$

Question 3: You have $20 and want to spend no more than $\frac{3}{4}$ of it. What is the maximum amount of money you can spend?
    
      $5
      $10
      $15
      $25

Question 4: You walk $\frac{2}{5}$ of a mile to the store and then $\frac{1}{3}$ of a mile to a friend's house. How far did you walk in total?
    
      $\frac{2}{15}$ mile
      $\frac{3}{8}$ mile
      $\frac{11}{15}$ mile
      $\frac{1}{4}$ mile

Question 5: A shirt is on sale for 25% off. If the original price was $32, what is the sale price?
    
      $24
      $8
      $28
      $40

Question 6: You have 2.5 liters of juice and want to pour it into glasses that hold 0.25 liters each. How many glasses can you fill?
    
      5
      10
      12
      8

Question 7: You are mixing paint. You need $\frac{1}{2}$ can of blue paint and $\frac{1}{3}$ can of yellow paint. How much more blue paint do you need than yellow paint?
    
      $\frac{1}{6}$ can
      $\frac{2}{5}$ can
      $\frac{5}{6}$ can
      $\frac{1}{2}$ can

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Real-World Examples of Rational Number Operations in Daily Life

1 Answers

📚 Quick Study Guide

🧪 Practice Quiz

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