4-2 Adding and Subtracting Fractions What You’ll Learn To add fractions To subtract fractions

Reduce the following 3/12 = 12/32 = 5/45 = 15/200 = 72/120 =

Example 1 Adding like Fractions: Solve: 3/8 + 4/8 = ? Step 1: Rewrite the problem vertically. Step 2: Add the numerators (the number above the line). The denominator (the number below the line) remains the same. Step 3: Reduce if necessary

Example 2: Subtract like Fractions Solve: 6/12 - 5/12 = ? Step 1: Rewrite the problem vertically. Step 2: Subtract the numerators (the number above the line). The denominator (the number below the line) remains the same. Step 3: Reduce if necessary

Find the LCM 3 & 4 12 & 4 5 & 100 6 & 20 8 & 78

Example 3: Adding Unlike Fractions : Solve 1/5 + 4/9 = ? Step 1: Rewrite horizontal problems vertically. (This step is not necessary, but many students find it easier to add fractions when the problems are written vertically.) Step 2: Find a common denominator (a common multiple of the denominators of two or more fractions). For this problem, the common denominator is 45, because 9 and 5 will both divide into 45. Step 3: Multiply 1/5 by 9/9. Rewrite the first fraction as 9/45. Multiply 4/9 by 5/5. Rewrite the second fraction as 20/45. Step 4: Add the numerators together (9 + 20 = 29). The denominator (45) remains the same

Example 4: Subtracting Unlike Fractions Solve: 6/7 - 3/4 = ? Step 1: Rewrite the problem vertically. Step 2: Find a common denominator (a common multiple of the denominators). For this problem, the common denominator is 28. Multiply 6/7 by 4/4. Multiply 3/4 by 7/7. Step 3: Rewrite 6/7 as 24/28. Rewrite 3/4 as 21/28. Step 4: Subtract the numerators (24 - 21 = 3). The denominator (28) remains the same. Practice: Text page 194 # 1-23 odd

Try to Add or Subtract the Following 3/5 + 1/5 = 11/12 – ¼ = ¾ - 1/8 = 7/12 – 1/3 = 5/6 – 9/24 =

Using the Ray Method for Adding and Subtracting Unlike Fractions Draw 3 Rays Write the products at the arrows Write products as shown and subtract Simplify (if needed) 8 6 2 – 2 3 4 12 8-6 2 1 12 12 6 Assign Pr 4-2

Using the Ray Method for Adding and Subtracting Unlike Fractions Draw 3 Rays Write the products at the arrows Write products as shown and add Simplify (if needed) 8 6 2 – 2 3 4 12 8+6 14 12 12 1 1/6