Addition and Subtraction of Rational Expressions (Different Denominators) PDF
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This document is a set of practice problems on adding and subtracting rational expressions. The problems involve finding least common multiples and performing operations with variables like x, y, a. This appears to be a worksheet or a set of exercises for a math class, possibly algebra or a similar high school or secondary school math course.
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Find the Least common multiple of each set of numbers. 1. 4 5 2. 10 15 3. 12 18 3. 6 15 2, 3, 4. x y xy 2 Add/Subtract the following fractions. 1 3 1. + 4 8 5 3 2. - 6 15 4 5 3. + 18 12 2 2 4. - 3 7 Find the LC...
Find the Least common multiple of each set of numbers. 1. 4 5 2. 10 15 3. 12 18 3. 6 15 2, 3, 4. x y xy 2 Add/Subtract the following fractions. 1 3 1. + 4 8 5 3 2. - 6 15 4 5 3. + 18 12 2 2 4. - 3 7 Find the LCD for the rational expressions. 5 3 1. , 4𝑎𝑏 10𝑏𝑐 3 7 2. , 8𝑥𝑦 12𝑥 2 7 3 3. 2 , 15𝑎 10𝑎𝑏3 2𝑎 3 4. 2 , 2 𝑎 −16 𝑎 +𝑎 −12 To find the LCD 1. Factor each denominator completely 2. For each unique factor, compare the number of times it appears in each factorization. Write a factored form that includes each factor the greatest number of times it appears in the denominator factorizations. Perform the following operations. 5 3 1. + 4𝑎𝑏 10𝑏𝑐 Perform the following operations. 3 7 2. - 8𝑥𝑦 12𝑥 2 Perform the following operations. 7 3 3. 2 - 3 15𝑎 10𝑎𝑏 Perform the following operations. 2𝑎 3 4. 2 + 2 𝑎 −16 𝑎 +𝑎 −12 Perform the following operations. 5. 2x + 3x 6. 5x 2 4xy 7. Perform the following operations. 5. 3 + x - 4 x+2 2 2 x - 4 x + 3x + 2 5. Perform the following operations. 6. a + 5 a+3 a 5. Perform the following operations. 7. 5 + 7 2 a + 5a 3a + 15 5. Perform the following operations. 8. h + 7 h – 5h + 6 2 h-3 5.
