3 12 Solving Equations Containing Fractions Warm Up

$3 -12 Solving Equations Containing Fractions The goal when solving equations that contain fractions$

3 -12 Solving Equations Containing Fractions Additional Example 1 A: Solving Equations by Adding

3 -12 Solving Equations Containing Fractions Additional Example 1 B: Solving Equations by Adding

3 -12 Solving Equations Containing Fractions Check It Out: Example 1 A x –

3 -12 Solving Equations Containing Fractions Check It Out: Example 1 B x– 3=5

3 -12 Solving Equations Containing Fractions Recall that the product of a nonzero number

3 -12 Solving Equations Containing Fractions Additional Example 2 A: Solving Equations by Multiplying

3 -12 Solving Equations Containing Fractions Additional Example 2 B: Solving Equations by Multiplying

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 A – 1

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 B 6 y

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 C – 2

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 D – 4

3 -12 Solving Equations Containing Fractions Additional Example 3: Food Application Melissa made a

3 -12 Solving Equations Containing Fractions Check It Out: Example 3 A salad bar

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3 -12 Solving Equations Containing Fractions Warm Up Solve. 1. x – 16 = 8 2. 7 a = 35 3. x = 11 12 4. y + 21 = 31

$3 -12 Solving Equations Containing Fractions The goal when solving equations that contain fractions$

3 -12 Solving Equations Containing Fractions The goal when solving equations that contain fractions is the same as when working with other kinds of numbers—to isolate the variable on one side of the equation.

3 -12 Solving Equations Containing Fractions Additional Example 1 A: Solving Equations by Adding or Subtracting Solve. Write the answer in simplest form. x – 3= 5 7 7

3 -12 Solving Equations Containing Fractions Additional Example 1 B: Solving Equations by Adding or Subtracting Solve. Write the answer in simplest form. 4 -1 +r= 9 2 – 4 , to both sides. 9 9

3 -12 Solving Equations Containing Fractions Check It Out: Example 1 A x – 3= 7 8 8

3 -12 Solving Equations Containing Fractions Check It Out: Example 1 B x– 3=5 8 6

3 -12 Solving Equations Containing Fractions Recall that the product of a nonzero number and its reciprocal is 1. This is called the Multiplicative Inverse Property. You can use the Multiplicative Inverse Property to solve multiplication equations that contain fractions and whole numbers.

3 -12 Solving Equations Containing Fractions Additional Example 2 A: Solving Equations by Multiplying Solve. Write the answer in simplest terms. 3 x 1 = 8 4 .

3 -12 Solving Equations Containing Fractions Additional Example 2 B: Solving Equations by Multiplying Solve. Write the answer in simplest terms. 4 y = 8 9

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 A – 1 x 5 = 2 8

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 B 6 y = 3 7

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 C – 2 z 3 = 3 4

3 -12 Solving Equations Containing Fractions Check It Out: Example 2 D – 4 p = 8 9

3 -12 Solving Equations Containing Fractions Additional Example 3: Food Application Melissa made a fruit salad using a total of 5 1 pounds of 4 1 various fruits. She used 1 pounds of grapes, and she 2 used equal portions of 5 other fruits in her salad. What weight of each of these fruits did she use?

3 -12 Solving Equations Containing Fractions Check It Out: Example 3 A salad bar in a restaurant contains 105 pounds 6 31 of greens, of vegetables. There are pounds 3 and there are equal amounts of onions, bell peppers, celery, carrots, and cucumbers. How much of each of these vegetables does the salad bar contain?