Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominators

Martin-Gay, Developmental Mathematics 2 Rational Expressions If P, Q and R are polynomials and Q  0,

Martin-Gay, Developmental Mathematics 3  Add. Write each answer in lowest terms. Solution: Adding Rational Expressions with the Same Denominator Slide

Martin-Gay, Developmental Mathematics 4 Add the following rational expressions. Adding Rational Expressions Example

Martin-Gay, Developmental Mathematics 5 Subtract the following rational expressions. Subtracting Rational Expressions Example

Martin-Gay, Developmental Mathematics 6 Subtract the following rational expressions. Subtracting Rational Expressions Example

Martin-Gay, Developmental Mathematics 7 To add or subtract rational expressions with unlike denominators, you have to change them to equivalent forms that have the same denominator (a common denominator). This involves finding the least common denominator of the two original rational expressions. Least Common Denominators

Martin-Gay, Developmental Mathematics 8  Add. Write each answer in lowest terms. Solution: Adding Rational Expressions with Different Denominators Slide

Martin-Gay, Developmental Mathematics 9 Solution: Adding Rational Expressions Slide  Add. Write the answer in lowest terms.

Martin-Gay, Developmental Mathematics 10 Solution:  Add. Write the answer in lowest terms. Slide Adding Rational Expressions

Martin-Gay, Developmental Mathematics 11  Add. Write the answer in lowest terms. Solution: Adding Rational Expressions with Denominators That Are Opposites Slide

Martin-Gay, Developmental Mathematics 12 Slide  Subtract rational expressions.

Martin-Gay, Developmental Mathematics 13  We subtract rational expressions having different denominators using a procedure similar to the one used to add rational expressions having different denominators. Subtract rational expressions. Slide If and (Q ≠ 0) are rational expressions, then That is, to subtract rational expressions with the same denominator, subtract the numerators and keep the same denominator. Use the following rule to subtract rational expressions having the same denominator.

Martin-Gay, Developmental Mathematics 14  Subtract. Write the answer in lowest terms. Subtracting Rational Expressions with the Same Denominator Slide Solution: Sign errors often occur in subtraction problems. The numerator of the fraction being subtracted must be treated as a single quantity. Be sure to use parentheses after the subtraction sign.

Martin-Gay, Developmental Mathematics 15 Subtracting Rational Expressions with Different Denominators Slide  Subtract. Write the answer in lowest terms. Solution:

Martin-Gay, Developmental Mathematics 16 Subtracting Rational Expressions with Denominators That Are Opposite Slide  Subtract. Write the answer in lowest terms. Solution:

Martin-Gay, Developmental Mathematics 17  Subtract. Write the answer in lowest terms.  Subtracting Rational Expressions Slide Solution:

Martin-Gay, Developmental Mathematics 18 SHOW ME WHAT YOU KNOW Slide