Fraction Algebra Word Problem Game

Fraction Algebra Word Problem Quiz/Game
This game focuses on solving word problems involving Fractions. Fraction problems including a wide range of fraction applications: finding the whole, finding the part, multi-step and logic. Scroll down the page for a more detailed explanation.

 

 

How to Play the Fraction Algebra Explorer Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Fraction: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Question” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

How to Solve Fraction Algebra Word Problems
Three Common Types of Problems
Type A: Finding the Part
Problem: “A recipe calls for 12 cups of flour.
If you only want to make \(\frac{1}{3}\) of the recipe, how much flour do you need?"
Equation: \(x = \frac{1}{3} \cdot 12\)
Solution: x = 4 cups.

Type B: Finding the Whole
Problem: “You ate \(\frac{2}{3}\) of a chocolate bar. If the piece you ate was $8$ squares long, how many squares were in the whole bar?"
Equation: \(\frac{2}{3}x = 8\)
Solution: Multiply both sides by the reciprocal (\(\frac{3}{2}\)): x = 8 \(\cdot \frac{3}{2} = 12\) squares.

Type C: Dealing with “The Remainder”
Problem: “A hiker has finished \(\frac{3}{4}\) of a trail. If he has 5 miles left to go, how long is the total trail?"
Logic: If he finished \(\frac{3}{4}\), then \(\frac{1}{4}\) of the trail is remaining.
Equation: \(\frac{1}{4}x = 5\)
Solution: x = 20 miles.

Step-by-Step Strategy
Follow this process to avoid getting overwhelmed by the text:

1. Define x: Identify what the question is asking for (usually the “total” or “original amount”).
   
2. Translate “Of”: Look for the word “of” to see what the fraction is being applied to.
   
3. Check for “Left/Remaining”: If the problem gives you the amount leftover, make sure your fraction represents the leftover part.
   Tip: If \(\frac{2}{5}\) is used, then \(\frac{3}{5}\) is left.
   
4. Solve for x: Isolate x by multiplying by the reciprocal of the fraction.
   
    
   

This video gives a clear, step-by-step approach to explain how to solve fraction algebra word problems.

• Show Video

 

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