Adding and Subtracting Simple Fractions and Mixed Numbers.pptx
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This document provides instructions and examples for adding and subtracting fractions and mixed numbers. It begins with examples of similar and dissimilar fractions, as well as mixed numbers. It then discusses finding the lowest common denominator when adding or subtracting dissimilar fractions. The document also provides examples and practice problems for adding and subtracting mixed fractions. It concludes with a summary of the key steps for adding and subtracting fractions and mixed numbers.
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This document provides guidance on adding dissimilar fractions. It explains that dissimilar fractions have different denominators while similar fractions have the same denominator. To add dissimilar fractions, one must first find the least common denominator (LCD), then rename each fraction with the LCD as its denominator, and finally add the numerators and write over the LCD. Several examples are provided to demonstrate finding the LCD, renaming fractions, and performing the addition. Assessment and enrichment activities are also included to help students practice and apply the skill.
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This document provides instructions on how to add dissimilar fractions. It begins by listing examples of finding the least common denominator of sets of fractions. It then works through an example problem of adding 1/2 kg of lanzones and 1/4 kg of grapes. The key steps are to first find the least common denominator to make the fractions similar, then add the numerators and keep the same denominator. Finally, it lists three practice problems for the student to solve.
Subtracting similar fractions
This document discusses subtracting similar fractions. It states that to subtract similar fractions, you subtract the numerators and copy the denominator, reducing the fraction to its lowest terms if possible. It provides examples of subtracting fractions like 5/8 - 1/8 = 1/2 and 9/15 - 3/15 = 2/5, along with exercises to subtract fractions and reduce the results to their lowest forms.
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2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
3. Terminating decimals stop at a certain digit. Repeating decimals have a repeating digit or group of digits that is usually denoted with a bar.
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The document discusses how to add fractions with the same or unlike denominators by regrouping. It explains that adding fractions with the same denominators involves adding the whole numbers and fractions separately and then simplifying. Adding fractions with unlike denominators requires finding the least common denominator, converting the fractions so they share the LCD, adding the whole numbers and converted fractions, and then simplifying the final fraction. Examples are provided to illustrate the steps for adding mixed fractions with like and unlike denominators through regrouping.
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Adding and Subtracting Simple Fractions and Mixed Numbers.pptx
- 1. Adding and Subtracting Simple Fractions and Mixed Numbers
- 2. Banana Bread Recipe 2 eggs 1 ¾ cup sifted flour 2 tsp baking powder ¼ tsp baking powder 1 cup mashed bananas (about 3 bananas) ½ tsp salt ⅓ cup vegetable oil ⅔ cup sugar
- 3. Which are similar fractions? Which are dissimilar? Which are mixed numbers? 1 ¾ ¼ ½ ⅓ ⅔ 2 5 6
- 4. Addition or Subtraction of Similar Fractions
- 5. Addition or Subtraction of Dissimilar Fractions 1. Find LCD of 5 and 10 LCD = 10
- 6. Addition or Subtraction of Dissimilar Fractions 1. Find LCD of 6 and 9 LCD = 18 *Always reduce your answer in it simplest form
- 7. Addition or Subtraction of Dissimilar Fractions 1. Make equivalent fractions. 2. Subtract. 3. Reduce your answer in simplest form if needed. LCD
- 8. Addition or Subtraction of Dissimilar Fractions 1. Make equivalent fractions. 2. Subtract. 3. Reduce your answer in simplest form if needed. LCD
- 9. Practice 1 Find the sum. Express the answer in lowest terms. 1) ½ + ¼ = 2) ⅓ + ⅝ = 3) ¼ + ⅔ = 4) ⅙ + ½ = 5) 9 ½ + 2 ⅓ =
- 10. Practice 2 Find the difference. Express the answer in lowest terms. 1) ⅜ - ⅛ = 2) 14/15 - 4/15 = 3) 6/10 - 4/10 = 4) 8/12 - 6/12 = 5) 13/20 - 3/20 =
- 11. Adding/Subtracting Mixed Fractions To add/subtract mixed fractions: 1. Add or subtract the whole number part. 2. If the fraction part share a common denominator, proceed on adding or subtracting. If not, find their LCD to make equivalent fractions. 3. If the answer is an improper form, reduce the fraction into a mixed number.
- 13. Adding/Subtracting Mixed Fractions Example 9: and + 1. Change mixed fractions into improper fractions. 2. Make equivalent fractions by finding their LCD. 3. The answer is an improper fraction so, change it into a mixed number.
- 14. Adding/Subtracting Mixed Fractions Example 10: and - 1. Change mixed fractions into improper fractions. 2. Make equivalent fractions by finding their LCD. 3. The answer is in lowest term.
- 15. Adding/Subtracting Fractions and Mixed Fractions Example 11: +
- 16. Adding/Subtracting Fractions and Mixed Fractions Example 12: + +
- 17. Adding/Subtracting Fractions and Mixed Fractions Example 13: - -
- 18. Practice 3 Find the difference. Express the answer in lowest terms. 1) 14 ⅓ - 12 ⅖ = 2) 27 4/7 - 10 ¾ = 3) 15 ⅜ - 10 4/7 = 4) 5 - 8/5 = 5) 14 - 12 4/9 =
- 19. Summary • To add/subtract similar fractions, simply combine the numerators and copy the denominators. • To add/subtract dissimilar fractions, make equivalent fractions by finding the LCD of the fractions and then proceed in adding or subtracting the fractions when they are already similar. • To add/subtract mixed fractions, change them into improper fractions first then follow the rules for adding/subtracting dissimilar fractions. • Always reduce your answer in its simplest form.