55 Adding and Subtracting Unlike Fractions

1
5-5 Adding and Subtracting Unlike Fractions

• Objective Add and subtract fractions with unlike
  denominators.

2
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x

3
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x -3/5

4
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m

5
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m 33/4

6
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m
• y 41/3 22/3

7
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m
• y 41/3 22/3 12/3

8
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m
• y 41/3 22/3
• Simplify each expression.
• 21/3 t 52/3 t 31/3 t

9
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m
• y 41/3 22/3
• Simplify each expression.
• 21/3 t 52/3 t 31/3 t 42/3t

10
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m
• y 41/3 22/3
• Simplify each expression.
• 21/3 t 52/3 t 31/3 t
• 11/7g (-23/7g) 51/7g

11
5-Minute Check

• Solve each equation. Write the solution in
  simplest form.
• 1/5 4/5 x
• 2 3/8 13/8 m
• y 41/3 22/3
• Simplify each expression.
• 21/3 t 52/3 t 31/3 t
• 11/7g (-23/7g) 51/7g -6g

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5-5 Adding and Subtracting Unlike Fractions
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5-5 Adding and Subtracting Unlike Fractions

• Example
• Solve each equation.
• b ½ ¾

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5-5 Adding and Subtracting Unlike Fractions

• Example
• Solve each equation.
• b ½ ¾
• b ½2/2 ¾

The LCD is 22 or 4.
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5-5 Adding and Subtracting Unlike Fractions

• Example
• Solve each equation.
• b ½ ¾
• b ½2/2 ¾
• b 2/4 ¾

The LCD is 22 or 4. Rename each fraction with
the LCD.
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5-5 Adding and Subtracting Unlike Fractions

• Example
• Solve each equation.
• b ½ ¾
• b ½2/2 ¾
• b 2/4 ¾
• b 5/4 or 11/4

The LCD is 22 or 4. Rename each fraction with
the LCD.
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5-5 Adding and Subtracting Unlike Fractions
Example Solve each equation. b. d 93/10
45/6
Estimate 9 5 4
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5-5 Adding and Subtracting Unlike Fractions
Example Solve each equation. b. d 93/10
45/6 d 99/30 425/30
Estimate 9 5 4 The LCD is 310 or 30. Rename.
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5-5 Adding and Subtracting Unlike Fractions
Example Solve each equation. b. d 93/10
45/6 d 99/30 425/30 d 839/30 425/30
Estimate 9 5 4 The LCD is 310 or 30.
Rename. Rename 99/30 as 839/30 .
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5-5 Adding and Subtracting Unlike Fractions
Example Solve each equation. b. d 93/10
45/6 d 99/30 425/30 d 839/30 425/30 d
414/30 or 47/15
Estimate 9 5 4 The LCD is 310 or 30.
Rename. Rename 99/30 as 839/30 .
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5-5 Adding and Subtracting Unlike Fractions
Connection Another method of adding or
subtracting fractions with unlike denominators
can be represented by a c ad bc b
d bd and a c ad bc b
d bd
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5-5 Adding and Subtracting Unlike Fractions
Assignment 14 - 36 even, 37 - 47 all