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Solving Fraction Equations by Multiplying: Lesson 5-5

Learn how to solve fraction equations involving variables as numerators or being multiplied by a fraction. Understand when to use multiplication as the inverse operation to division. Practice with examples to master these concepts.

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Solving Fraction Equations by Multiplying: Lesson 5-5

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  1. Solving Fraction Equations by Multiplying Lesson 5-5

  2. If the variable is in the fraction… • When the variable is the numerator of the fraction, then it suggests a division problem. • To solve a division problem, the inverse operation is multiplying.

  3. Example y 20 = 8 This equation reads “y divided by 8 equals 20.” The opposite of dividing by 8 is multiplying by 8. Multiply both sides by 8.

  4. y 1 8 20 8 = · · 8 1 1 y 160 = 1 y = 160

  5. Example 2 m 1 2 3 2 = · · 1 2 1 m = 6 1 m 6 =

  6. Check answers in the original equation. m = 3 2 6 = 3 2 = 3 3

  7. If the variable is being multiplied by a fraction… • To isolate a variable that is being multiplied by a fraction, multiply by the reciprocal. • Perform the same operation on the other side of the equation.

  8. Example 5 3 2 1 1 3 10 r = · · 2 3 1 1 2 1 1 15 r 1 = 1 r 15 =

  9. Homework Time

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