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Mastering Addition and Subtraction of Fractions: Step-by-Step Guide

This lesson focuses on the methodical approach to adding and subtracting fractions using three essential steps: shaping fractions with common denominators, performing the operations, and simplifying results. Examples are provided to illustrate each step in action. Engage in mental math exercises such as counting by 12s and various arithmetic operations. Join activities that challenge your understanding of fractions through practical problems. Reinforce your learning with proficiency tests and homework assignments designed to master these important math skills.

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Mastering Addition and Subtraction of Fractions: Step-by-Step Guide

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  1. Lesson 57 Adding and Subtracting Fractions Three Steps

  2. Notes Mental Math Links Activity Proficiency Homework Fact Test

  3. Mental Math • Count by 12’s from 12 to 144 • 8 x 425 465 + 250 • 150 + 49 $9.75 - $3.50 • Double 4 ½ 600/30 • 2 x 2, x 2, x 2, x 2, x 2, ÷ 8, ÷ 8

  4. Step 1: Put the problem into the correct shape or form if it is not already. (When adding and subtracting, the correct form is with common denominators). Step 2: Perform the operation indicated. (Adding, Subtracting, Multiplying, or Dividing). Step 3: Simplify the answer if possible. (Reduce the fraction or write an improper fraction as a mixed number).

  5. Example #1 Add: 1/2 + 2/3 Step 1: Shape: write the fraction with common denominators. 1/2 = n/6 = 3/6 + 2/3 = + n/6 = + 4/6 Step 2: Operate: add the renamed fractions. 3/6 + 4/6 7/6 Step 3: Simplify: convert the improper fraction to a mixed number 7/6 = 1 1/6 Next

  6. Example #2 Subtract: 5/6 - 1/3 Step 1: Shape: write the fraction with common denominators. 5/6 = n/6 = 5/6 - 1/3 = - n/6 = - 2/6 Step 2: Operate: add the renamed fractions. 5/6 - 2/6 3/6 Step 3: Simplify: convert the improper fraction to a mixed number 3/6 = 1/2

  7. Adding Fractions http://www.aaamath.com/B/g66k_ax1.htm Subtracting Fractions http://www.aaamath.com/B/g66l_sx1.htm Adding and Subtracting Fractions http://www.math.com/school/subject1/lessons/S1U4L6GL.html

  8. Activity Jermaine was thinking of two different positive odd numbers whose average was 15. Each number contains two digits. Find two pairs of numbers of which Jermaine could have been thinking.

  9. Lesson 57 Practice A-H Complete #’s 1-10

  10. Fact Test H

  11. 5 0 :3 0 2/3 + 3/4 • 5/7 • 5/13 • 1 1/2 • 1 5/12 • None of the above

  12. 5 0 :3 0 5/6 – 1/2 • 1/3 • 1 • 1/2 • 4/12 • None of the above

  13. 5 0 :3 0 5/12 – 1/6 = • 1/2 • 1/4 • 1/3 • 2/3 • None of the above

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