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Adding and Subtracting Unlike Fractions. 4.5. Adding or Subtracting Unlike Fractions. Step 1: Find the LCD of the denominators of the fractions. Step 2: Write each fraction as an equivalent fraction whose denominator is the LCD . Step 3: Add or subtract the like fractions.

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## 4.5

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**Adding or Subtracting Unlike Fractions**Step 1: Find the LCD of the denominators of the fractions. Step 2: Write each fraction as an equivalent fraction whose denominator is the LCD. Step 3: Add or subtract the like fractions. Step 4: Write the sum or difference in simplest form.**Adding or Subtracting Unlike Fractions**Add: Step 1: Find the LCD of 9 and 12. 9 = 3 ∙ 3 and 12 = 2 ∙ 2 ∙ 3 LCD = 2 ∙ 2 ∙ 3 ∙ 3 = 36 Step 2: Rewrite equivalent fractions with the LCD. Continued.**Adding or Subtracting Unlike Fractions**Continued: Step 3: Add like fractions. Step 4: Write the sum in simplest form.**Writing Fractions in Order**One important application of the least common denominator is to use the LCD to help order or compare fractions. Insert < or > to form a true sentence. The LCD for these fractions is 35. Write each fraction as an equivalent fraction with a denominator of 35. Continued.**Writing Fractions in Order**Continued: Compare the numerators of the equivalent fractions. Since 21 > 20, then Thus,**Evaluating Expressions**Evaluate x – y if x = and y = . Replacing x with and y with , then, x – y Martin-Gay, Prealgebra, 5ed**Solving Equations Containing Fractions**Solve: To get x by itself, add to both sides. Continued.**Write fraction in simplest form.**Solving Equations Containing Fractions Continued:

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