Fraction Word Problems

• What elements should you look for in a fraction word problem?

  • Context: Background situation
  • Information: Facts provided
  • Need to find: What to calculate
• What operation does the key phrase "Shared" indicate?

  • Division
  • Example: "Divide 1/2 equally among 3 people."
• What operation does the key phrase "Of" indicate?

  • Multiplication
  • Example: "Find 1/4 of 20."
• What is the first step to solving fraction word problems?

  Understanding the problem
• What operation does the key phrase "Combined" indicate?

  • Addition
  • Example: "What is 1/3 plus 1/6?"
• Why are key phrases important in fraction equations?

  They indicate what operations to perform
• How can you ensure you fully understand a word problem?

  Refer back to the problem while reading
• What are the key phrases and their corresponding math equations for fractions?

  • 1/2 of 20: $\frac{1}{2} \times 20$
  • Divide 1/2 by 3: $\frac{1}{2} \div 3$
  • Add 1/3 and 1/6: $\frac{1}{3} +$$\frac{1}{6}$
  • Subtract 1/4 from 1/2: $\frac{1}{2} - \frac{1}{4}$
• What must you ensure when adding or subtracting fractions?

  They have the same denominator
• What should guide you in determining the operation required?

  The key phrases you've found
• Name a fraction indicator.

  "Half"
• What are the three types of keywords identified?

  • Action Words
  • Fraction Indicators
  • Quantity Words
• What do quantity words tell you about?

  They tell you about amounts
• What do action words suggest in a word problem?

  They suggest a mathematical operation
• Why is identifying keywords important?

  It helps understand the context and actions
• What is the result of $\frac{1}{3} +$$\frac{1}{4}$ after finding the common denominator?


  $\frac{7}{12}$
• What is the first step to solve fraction equations?

  Perform the indicated mathematical operations
• What is the first step in setting up a fraction equation?

  Turn the word problem into a math sentence
• What are the procedures for solving fraction equations?

  • Addition: Find common denominator, add numerators
  • Subtraction: Find common denominator, subtract numerators
  • Multiplication: Multiply numerators, multiply denominators
  • Division: Invert second fraction, multiply fractions
• What are the three checks to perform after solving an equation?

  • Verify the calculation
  • Convert to decimals
  • Relate to the context
• What is the process for setting up a fraction equation from a word problem?

  1. Identify key phrases in the problem
  2. Determine the operations needed (multiply, divide, add, subtract)
  3. Write the corresponding math sentence
• What is the equation for the problem: "Emily ate 1/3 of her cake and David ate 1/4. How much cake did they eat together?"

  $\frac{1}{3} +$$\frac{1}{4}$
• What is the role of keywords in solving word problems?

  • Provide clues about the problem
  • Help identify mathematical operations
  • Clarify the context of the problem
• What is the decimal equivalent of $\frac{7}{12}$?


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• Why should you refer back to the setting up the equation section?

  To double-check your equation
• Where should you refer back to if you need help choosing the right operation?

  The understanding the problem section
• What is the procedure for dividing fractions like $\frac{1}{2} \div 3$?


  Invert the second fraction, multiply
• What operation does the key phrase "Less than" indicate?

  • Subtraction
  • Example: "How much is 1/2 minus 1/4?"
• In the problem about cake, how much cake did Emily and David eat together?

  $\frac{7}{12}$
• How do you add the fractions $\frac{1}{3} +$$\frac{1}{6}$?


  Find common denominator, add numerators
• How would you convert $\frac{1}{3}$ to a decimal?


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• What are the steps to check your answer after solving an equation?

  1. Verify the calculation
  2. Convert to decimals
  3. Relate to the context
• What is the decimal equivalent of $\frac{1}{4}$?


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• How can you verify the calculation of an equation?

  Redo the calculation or use a calculator
• What do fraction indicators involve?

  Words that directly involve fractions
• What is the first step after solving an equation?

  Check your answer
• Why is it useful to convert fractions to decimals?

  To compare the values easily
• If Maria eats 3 slices, what do you need to find?

  How much of the pizza she eats
• What is the first step after understanding the context of a word problem?

  Identify the keywords
• What should you ensure about your answer in relation to the original problem?

  It fits the context and makes sense