Adding and Subtracting fractions with LIKE denominators

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Presentation transcript:

Adding and Subtracting fractions with LIKE denominators Grade 5 Copyright © Ed2Net Learning, Inc.

How about some warm-ups? Write each fraction in simplest form: 1. 2. 3. 4. 5. Copyright © Ed2Net Learning, Inc.

Let’s review some of the concepts of the last lesson! Last time, we learned how to estimate the sums and differences of fractions and mixed numbers. We used benchmarks of 0, ½, and 1 to round fractions. Our guidelines are as follows: When numerator is much smaller than denominator round to  0 When numerator is almost half of denominator round to  ½ When numerator is almost same as denominator round to  1 Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Review To estimate sums and differences of mixed numbers, round to the nearest whole number. If mixed number has a fraction of ½ or greater  round up to next whole number. If mixed number has a fraction less than ½  leave whole number the same! Very Well….Lets carry on to today’s lesson Copyright © Ed2Net Learning, Inc.

To add with like denominators, we can follow three simple steps: 1. Add the numerator. Keep the denominator the same. If we need to….Simplify!! Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. At a bake sale, of a cherry pie and of an apple pie are sold. What is the total amount of pie sold? In this problem we are asked to find the sum of Our first step is to add the numerator. Second step is to keep the denominator the same. In this case the fraction is already simplified. Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Your Turn Marie set out to bake a lemon meringue pie. The depth of a pie pan that she used is cm deep. After baking, the crust rises another cm above the pan. How deep is Marie’s pie? Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Sometimes, the sum of fractions is greater than 1. In this case we must rename the improper fraction, as a mixed number. After the thanksgiving day dinner, of a pecan pie and of a pumpkin pie were left. What fractions of the pies remain?  Combine numerators over denominators.  Add the numerators. Denominators remain the same. 1  Write as a mixed number. 1  Simplify. Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. You try this one! A mix fruit pie recipe calls for cups of apples, and cups of cherries. What is the total amount of fruit that the recipe requires? Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Just like adding fractions with like denominators, we can also subtract with like denominators following 3 simple steps: 1. Subtract the numerator. Keep the denominator the same. If we need to….Simplify!! Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. A pie is cut into eight equal pieces. Six slices are topped with cherries. The two remaining pieces are topped with walnuts. How much more of the pie is topped with cherries than walnuts? We are asked to find the difference between  First subtract the numerators. Denominators remain the same.  Write the fraction in simplest form.  Combine numerators over denominators. Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. You try this one! A caterer orders 105 pies. The order includes 50 apple pies, 30 peach pies, and some cherry pies. What fraction of the pies are cherry pies? Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Let’s take a break! Copyright © Ed2Net Learning, Inc.

Let’s try to do some unscrambling …. Unscramble each of the clue words. Copy the letters in the numbered cells to other cells with the same number. Today’s lesson is Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Answers NUMERATOR DENOMINATOR BENCHMARK ESTIMATE SUM DIFFERENCE Today’s lesson is A PIECE OF PIE. Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. Assessment Greg, otherwise known as the “left-over-eater- upper,” is getting ready to get his hands on the remains from the party. ¼ of the apple pie and and ¼ of the cherry pie are left over. What are the steps by which we can find the sum of the leftover pies that Greg will eat? 2. Add 3. Add 4. Subtract Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. 5. Find 9 + 2 6. Replace x to make the equation true. Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. 7. At Mario’s bakery, of the customers purchased banana nut pie, . of the customers purchased apricot pie, and of the customers purchased kiwi lime pie. (a) What portion of the customers purchased either banana nut or apricot pie? (b) What is the difference in fractions between the customers who purchased kiwi pie and apricot pie? (b) What portion of the customers purchased another type of pie? Copyright © Ed2Net Learning, Inc.

Lets recap what we learned today! Today we learned how to add and subtract fractions with like denominators. To add fractions with like denominators, we add the numerator, and keep the denominator the same! Sometimes, our sum is greater than 1. In this case, we rename the improper fraction into a mixed number. Copyright © Ed2Net Learning, Inc.

Copyright © Ed2Net Learning, Inc. To subtract fractions with like denominators, we first subtract the numerator, and leave the denominator the same. Always remember to simplify, when needed! Copyright © Ed2Net Learning, Inc.

You did an excellent job today! Remember to do the practice sheets!! Copyright © Ed2Net Learning, Inc.