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Addition or subtraction of fractions.

For this discussion , write a word problem that requires either addition or subtraction of fractions. Then, provide a strategy you think students may use in solving the problem. Describe the strategy and how this strategy would help students solve the word problem.

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Sample Answer

 

 

Word Problem: Baking Cookies!

Sarah is baking cookies for a party. She needs 2 1/3 cups of flour for the recipe. She already has 3/4 cup of flour in her pantry. How much more flour does she need to buy?

Strategy: Visualizing and Separating

This problem involves subtraction of fractions. Here’s a strategy students can use to solve it:

  1. Imagine the flour: Visualize 2 1/3 cups of flour as two wholes and one third of another whole. Imagine the 3/4 cup of flour Sarah already has.
  2. Separate and subtract: Think about how much flour Sarah needs to add to reach the recipe’s requirement. She can start by taking away the 3/4 cup she already has from the 2 wholes (representing 2 cups).

Full Answer Section

 

 

 

  1. Separate and subtract: Think about how much flour Sarah needs to add to reach the recipe’s requirement. She can start by taking away the 3/4 cup she already has from the 2 wholes (representing 2 cups).
  2. Convert and subtract: Since the wholes and the flour she has are in different units (whole cups vs. fractions of a cup), convert one to match the other. She can convert the 2 whole cups to sixths (2 x 3/3 = 6/3). Now, she can subtract the fractions: 6/3 – 3/4.
  3. Simplify the answer: After subtracting, she might get 15/12. Simplifying this fraction gives her the final answer: 5/4 cups.

How this strategy helps:

  • Visualizing the quantities makes the problem more concrete and easier to understand.
  • Separating and subtracting breaks the problem down into smaller, more manageable steps.
  • Converting units ensures the fractions are comparable before performing the subtraction.
  • Simplifying the answer keeps the solution clear and easy to interpret.

By following these steps, students can effectively solve the word problem and gain a better understanding of adding and subtracting fractions.

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