How can we solve fractional equations?

1
How can we solve fractional equations?

• Do now Solve for x
• What steps did you use to solve?

2
Reminders about fractions

• To add or subtract we need common denominators
• We can cross multiply when an equation is in the
  following form
• This works only if there is nothing in the
  equation but the two fractions.
• Ex. NO YES

3
So how can we actually solve these equations?

• There are a few ways to do so.
• One way is to cross multiply.
• 1) Convert the problem into nothing but
  fractions on either side by addition or
  subtraction with common denominators
• 2) Cross multiply
• 3) Solve for the variable
• 4) Check

4
Example

• First get common denominators so we can add.
• Cross multiply
• Solve for x
• Check

5
Is there another way to do this?

• Yes, instead of rewriting everything into
  fractions, look for the LCD of all fractions and
  rational expressions
• Next multiply through by this LCD
• Now you can solve like normal
• MAKE SURE YOU CHECK YOUR ANSWERS!!!

6
Example

• LCD is x2
• Multiply BOTH SIDES by the LCD
• Solve
• Check

7
Example
8
Try on your own
9
Summary

• What are the main steps to solving these
  problems?
• HW pg 132 1-20 even