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§ 2.9

§ 2.9. Solving Applied Problems Involving Fractions. Problem Solving Steps. Understand the problem. Read the problem carefully. Draw a picture if it is helpful. Fill in the Mathematics Blueprint so that you have the facts and a method of proceeding in this situation.

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§ 2.9

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  1. § 2.9 Solving Applied Problems Involving Fractions

  2. Problem Solving Steps • Understand the problem. • Read the problem carefully. • Draw a picture if it is helpful. • Fill in the Mathematics Blueprint so that you have the facts and a method of proceeding in this situation. • Solve and state the answer. • Perform the calculations. • State the answer and include the unit of measure. • Check. • Estimate the answer. • Compare the exact answer with the estimate to see if your answer is reasonable.

  3. Mathematics Blueprint for Problem Solving Gather the Facts What Am I Asked to Do? How Do I Proceed? Key Points to Remember Mathematics Blueprint The Mathematical Blueprint is simply a sheet of paper with four columns. Each column tells you something to do.

  4. Find the length of the notch. The board is 8 ft. long. There is a cut from each side of the board. Add the fractions and subtract the total from 8. Mathematics Blueprint Example: A carpenter is using an 8-foot length of wood for a frame. He needs to cut a notch in the wood that is feet from one end and feet from the other end. How long does the notch need to be? Mathematics Blueprint for Problem Solving Gather the Facts What Am I Asked to Do? How Do I Proceed? Key Points to Remember All fractions must use the LCD = 24. Example continues.

  5. This is the part of the board that is not notched. Mathematics Blueprint Example: A carpenter is using an 8-foot length of wood for a frame. He needs to cut a notch in the wood that is feet from one end and feet from the other end. How long does the notch need to be?

  6. Find how much money Patty has after the deductions. The total income is $450.There are three deductions to be subtracted from the 450. Multiply each fraction by 450, then subtract the three products from 450. Mathematics Blueprint Example: Patty earns $450 per week. She has of her income withheld for federal taxes, of her income withheld for state taxes, and of her income withheld for medical coverage. How much money per week is left for Patty after those three deductions? Mathematics Blueprint for Problem Solving Gather the Facts What Am I Asked to Do? How Do I Proceed? Key Points to Remember “of” means to multiply. Example continues.

  7. The total of the deductions is 138. Mathematics Blueprint Example: Patty earns $450 per week. She has of her income withheld for federal taxes, of her income withheld for state taxes, and of her income withheld for medical coverage. How much money per week is left for Patty after those three deductions? 450 – 138 = 312 Patty has $312 left after deductions.

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