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Contents Lesson 5-5Adding and Subtracting Like Fractions Lesson 5-6Least Common Multiple

Lesson 5 Contents Example 1Add Fractions Example 2Add Mixed Numbers Example 3Subtract Fractions Example 4Subtract Mixed Numbers Example 5Add Algebraic Fractions

Example 5-1a Find. Write the sum in simplest form. Estimate The denominators are the same. Add the numerators. Answer: Simplify and rename as a mixed number.

Example 5-1b Find. Write the sum in simplest form. Answer:

Example 5-2a Find. Write the sum in simplest form. Add the whole numbers and fractions separately. Add the numerators. Simplify. Answer:

Example 5-2b Find. Write the sum in simplest form. Answer:

Example 5-3a Find. Write the difference in simplest form. Estimate The denominators are the same. Subtract the numerators. Answer: Simplify.

Example 5-3b Find. Write the difference in simplest form. Answer:

Example 5-4a Evaluate. Estimate Replace r with and q with. Write the mixed numbers as improper fractions. Subtract the numerators. Answer: Simplify.

Example 5-4b Evaluate. Answer:

Example 5-5a Find. Write the sum in simplest form. The denominators are the same. Add the numerators. Add the numerators. Answer: Simplify.

Example 5-5b Find. Write the sum in simplest form. Answer:

End of Lesson 5

Lesson 6 Contents Example 1Find the LCM Example 2The LCM of Monomials Example 3Find the LCD Example 4Find the LCD of Algebraic Fractions Example 5Compare Fractions

Example 6-1a Find the LCM of 168 and 180. NumberPrime Factorization Exponential Form The prime factors of both numbers are 2, 3, 5, and 7. Multiply the greatest powers of 2, 3, 5, and 7 appearing in either factorization. Answer: The LCM of 168 and 180 is 2520.

Example 6-1b Find the LCM of 144 and 96. Answer: 288

Example 6-2a Find the LCM of. Answer: The LCM of. Multiply the greatest power of each prime factor.

Find the LCM of. Example 6-2b Answer:

Example 6-3a Find the LCD of. Answer: The LCD of. Multiply. Write the prime factorization of 8 and 20. Highlight the greatest power of each prime factor.

Example 6-3b Find the LCD of. Answer: 36

Example 6-4a Find the LCD of. Answer: The LCD of.

Example 6-4b Answer: Find the LCD of

Example 6-5a Replacewith, or = to make a true statement. The LCD of the fractions is. Rewrite the fractions using the LCD and then compare the numerators. Multiply the fraction by to make the denominator 105.

Example 6-5a Answer: Since, then. is to the left of on the number line.

Example 6-5b Replacewith, or = to make a true statement. Answer: <

End of Lesson 6

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